Cremona's table of elliptic curves

18480 = 2⁴ · 3 · 5 · 7 · 11

Field	Data	Notes
Atkin-Lehner	2+ 3+ 5+ 7+ 11+	Signs for the Atkin-Lehner involutions
Class	18480b	Isogeny class
Conductor	18480	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	49920	Modular degree for the optimal curve
Δ	-19013513460480 = -1 · 28 · 313 · 5 · 7 · 113	Discriminant
Eigenvalues	2+ 3+ 5+ 7+ 11+ -4 -7 -1	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-6161,282525]	[a1,a2,a3,a4,a6]
Generators	[-44:683:1]	Generators of the group modulo torsion
j	-101043379262464/74271536955	j-invariant
L	3.0309268644306	L(r)(E,1)/r!
Ω	0.63208473913806	Real period
R	4.7951274200414	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	9240bf1 73920ht1 55440bh1 92400ck1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 18480b1

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
+	+	+	+	+	-4	-7	-1	3	-1	-10	8	10	1	10	1	3	7	10	2	4	4	7	3	-17

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Quadratic twists for elliptic curve 18480b1

-4	8	-3	5	-7
9240bf1	73920ht1	55440bh1	92400ck1	129360cs1

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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