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	6960w	Isogeny class
Conductor	6960	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	143486267424768000 = 242 · 32 · 53 · 29	Discriminant
Eigenvalues	2- 3+ 5+ -2  6 -4 -6  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-525496,145661296]	[a1,a2,a3,a4,a6]
Generators	[514:3330:1]	Generators of the group modulo torsion
j	3918075806073018169/35030827008000	j-invariant
L	3.0741858835369	L(r)(E,1)/r!
Ω	0.3280576299919	Real period
R	4.6854357321498	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	870b3 27840eb3 20880ck3 34800dh3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 6960w3

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
-	+	+	-2	6	-4	-6	4	0	-	-2	2	0	4	0	6	12	-4	-8	0	2	10	-18	0	-10

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Quadratic twists for elliptic curve 6960w3

-4	8	-3	5
870b3	27840eb3	20880ck3	34800dh3

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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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