Cremona's table of elliptic curves

3146 = 2 · 11² · 13

Field	Data	Notes
Atkin-Lehner	2+ 11- 13+	Signs for the Atkin-Lehner involutions
Class	3146c	Isogeny class
Conductor	3146	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	14400	Modular degree for the optimal curve
Δ	-2546878464100256 = -1 · 25 · 118 · 135	Discriminant
Eigenvalues	2+ -1  1 -3 11- 13+ -3  0	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,33878,-353932]	[a1,a2,a3,a4,a6]
j	2427173723519/1437646496	j-invariant
L	0.53480142176627	L(r)(E,1)/r!
Ω	0.26740071088313	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	25168s1 100672bh1 28314bs1 78650cg1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3146c1

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	-3	-	+	-3	0	4	0	-8	-7	8	1	-7	-6	10	8	8	7	16	-10	-4	0	8

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Quadratic twists for elliptic curve 3146c1

-4	8	-3	5	-11	13
25168s1	100672bh1	28314bs1	78650cg1	286d1	40898bj1

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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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