Cremona's table of elliptic curves

2695 = 5 · 7² · 11

Field	Data	Notes
Atkin-Lehner	5+ 7- 11+	Signs for the Atkin-Lehner involutions
Class	2695a	Isogeny class
Conductor	2695	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	808836875 = 54 · 76 · 11	Discriminant
Eigenvalues	1  0 5+ 7- 11+ -2 -6  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-2900,-59375]	[a1,a2,a3,a4,a6]
j	22930509321/6875	j-invariant
L	1.301160423914	L(r)(E,1)/r!
Ω	0.65058021195699	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	43120bo4 24255bv4 13475e3 55a3	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 2695a3

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
1	0	+	-	+	-2	-6	4	4	6	8	-2	-2	4	12	-2	-4	10	-16	8	-14	8	4	-10	-10

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Quadratic twists for elliptic curve 2695a3

-4	-3	5	-7	-11
43120bo4	24255bv4	13475e3	55a3	29645h4

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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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