Cremona's table of elliptic curves

6960 = 2⁴ · 3 · 5 · 29

Field	Data	Notes
Atkin-Lehner	2- 3+ 5- 29-	Signs for the Atkin-Lehner involutions
Class	6960bc	Isogeny class
Conductor	6960	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-1520589419642880 = -1 · 216 · 38 · 5 · 294	Discriminant
Eigenvalues	2- 3+ 5-  0  0 -2  6  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-15880,2033392]	[a1,a2,a3,a4,a6]
j	-108129104595721/371237651280	j-invariant
L	1.6713925054266	L(r)(E,1)/r!
Ω	0.41784812635666	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	870d4 27840dg3 20880bq4 34800de3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 6960bc4

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

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Quadratic twists for elliptic curve 6960bc4

-4	8	-3	5
870d4	27840dg3	20880bq4	34800de3

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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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