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	18480dd	Isogeny class
Conductor	18480	Conductor
∏ cp	700	Product of Tamagawa factors cp
Δ	3.0266017642962E+23	Discriminant
Eigenvalues	2- 3- 5- 7+ 11-  4  2 -2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-98619500,375994125000]	[a1,a2,a3,a4,a6]
Generators	[175:598950:1]	Generators of the group modulo torsion
j	414354576760345737269208016/1182266314178222109375	j-invariant
L	6.7234264344668	L(r)(E,1)/r!
Ω	0.097346755575796	Real period
R	0.3946672839611	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	4620e2 73920ef2 55440cw2 92400er2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 18480dd2

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	2	-2	-4	-4	-8	-10	0	8	-12	10	-12	-2	12	0	-16	-10	2	-18	2

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Quadratic twists for elliptic curve 18480dd2

-4	8	-3	5	-7
4620e2	73920ef2	55440cw2	92400er2	129360ej2

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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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