Cremona's table of elliptic curves

3476 = 2² · 11 · 79

Field	Data	Notes
Atkin-Lehner	2- 11+ 79-	Signs for the Atkin-Lehner involutions
Class	3476a	Isogeny class
Conductor	3476	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	336	Modular degree for the optimal curve
Δ	2447104 = 28 · 112 · 79	Discriminant
Eigenvalues	2- -1  1  1 11+  1  2 -2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-60,184]	[a1,a2,a3,a4,a6]
Generators	[10:22:1]	Generators of the group modulo torsion
j	94875856/9559	j-invariant
L	3.1332504250008	L(r)(E,1)/r!
Ω	2.5032695695251	Real period
R	0.20861053500757	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	13904g1 55616n1 31284d1 86900a1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3476a1

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	1	1	+	1	2	-2	-4	0	10	-2	-4	-8	3	0	-7	0	-4	-1	-10	-	8	-15	-3

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Quadratic twists for elliptic curve 3476a1

-4	8	-3	5	-11
13904g1	55616n1	31284d1	86900a1	38236b1

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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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