Cremona's table of elliptic curves

36960 = 2⁵ · 3 · 5 · 7 · 11

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 7- 11+	Signs for the Atkin-Lehner involutions
Class	36960t	Isogeny class
Conductor	36960	Conductor
∏ cp	96	Product of Tamagawa factors cp
Δ	-12148890969600 = -1 · 29 · 33 · 52 · 74 · 114	Discriminant
Eigenvalues	2+ 3- 5+ 7- 11+  6 -6 -8	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,5224,-81960]	[a1,a2,a3,a4,a6]
Generators	[22:210:1]	Generators of the group modulo torsion
j	30787903653688/23728302675	j-invariant
L	6.7920382266233	L(r)(E,1)/r!
Ω	0.39766841152009	Real period
R	0.71165218201309	Regulator
r	1	Rank of the group of rational points
S	1.0000000000001	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	36960g2 73920gc3 110880dz2	Quadratic twists by: -4 8 -3

Hecke Eigenvalues for elliptic curve 36960t2

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
+	-	+	-	+	6	-6	-8	0	2	8	6	-6	-4	-12	2	-4	6	-8	8	-6	8	-4	14	10

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Quadratic twists for elliptic curve 36960t2

-4	8	-3
36960g2	73920gc3	110880dz2

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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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