Cremona's table of elliptic curves

18960 = 2⁴ · 3 · 5 · 79

Field	Data	Notes
Atkin-Lehner	2+ 3+ 5- 79-	Signs for the Atkin-Lehner involutions
Class	18960c	Isogeny class
Conductor	18960	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	5120	Modular degree for the optimal curve
Δ	94800 = 24 · 3 · 52 · 79	Discriminant
Eigenvalues	2+ 3+ 5-  0  0 -2 -2  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-1975,34450]	[a1,a2,a3,a4,a6]
Generators	[90:760:1]	Generators of the group modulo torsion
j	53275177670656/5925	j-invariant
L	4.5860074721366	L(r)(E,1)/r!
Ω	2.6122562885277	Real period
R	3.511146660668	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	9480b1 75840ce1 56880k1 94800s1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 18960c1

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
+	+	-	0	0	-2	-2	4	4	2	0	6	-10	-4	-8	2	4	-10	4	0	-6	-	0	18	2

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Quadratic twists for elliptic curve 18960c1

-4	8	-3	5
9480b1	75840ce1	56880k1	94800s1

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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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