Cremona's table of elliptic curves

46 = 2 · 23

Field	Data	Notes
Atkin-Lehner	2+ 23-	Signs for the Atkin-Lehner involutions
Class	46a	Isogeny class
Conductor	46	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	5	Modular degree for the optimal curve
Δ	-23552 = -1 · 210 · 23	Discriminant
Eigenvalues	2+  0  4 -4  2 -2 -2 -2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-10,-12]	[a1,a2,a3,a4,a6]
j	-116930169/23552	j-invariant
L	0.66090411132397	L(r)(E,1)/r!
Ω	1.3218082226479	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	368b1 1472d1 414d1 1150e1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 46a1

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	-4	2	-2	-2	-2	-	2	0	-4	6	10	0	-4	12	-8	-10	0	6	-12	14	-6	6

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Quadratic twists for elliptic curve 46a1

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31	37	41	-43	-47	53
368b1	1472d1	414d1	1150e1	2254c1	5566i1	7774d1	13294a1	16606o1	1058a1	38686j1	44206c1	62974e1	77326e1	85054f1	101614a1	129214b1

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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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