Cremona's table of elliptic curves

2046 = 2 · 3 · 11 · 31

Field	Data	Notes
Atkin-Lehner	2+ 3+ 11- 31-	Signs for the Atkin-Lehner involutions
Class	2046b	Isogeny class
Conductor	2046	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	-3766731346987488 = -1 · 25 · 322 · 112 · 31	Discriminant
Eigenvalues	2+ 3+  0  4 11- -2 -2 -6	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-35305,3888997]	[a1,a2,a3,a4,a6]
Generators	[113:1109:1]	Generators of the group modulo torsion
j	-4866890555501529625/3766731346987488	j-invariant
L	2.1682857201599	L(r)(E,1)/r!
Ω	0.40608801354766	Real period
R	5.33944772518	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	16368s2 65472r2 6138l2 51150cq2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2046b2

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

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Quadratic twists for elliptic curve 2046b2

-4	8	-3	5	-7	-11	-31
16368s2	65472r2	6138l2	51150cq2	100254w2	22506ba2	63426j2

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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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