Cremona's table of elliptic curves

203 = 7 · 29

Field	Data	Notes
Atkin-Lehner	7- 29+	Signs for the Atkin-Lehner involutions
Class	203a	Isogeny class
Conductor	203	Conductor
∏ cp	5	Product of Tamagawa factors cp
deg	48	Modular degree for the optimal curve
Δ	-487403 = -1 · 75 · 29	Discriminant
Eigenvalues	-2 -1 -4 7-  2  4 -2  5	Hecke eigenvalues for primes up to 20
Equation	[0,-1,1,20,-8]	[a1,a2,a3,a4,a6]
j	841232384/487403	j-invariant
L	0.35054171745279	L(r)(E,1)/r!
Ω	1.7527085872639	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	5	Number of elements in the torsion subgroup
Twists	3248g1 12992r1 1827e1 5075c1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 203a1

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
-2	-1	-4	-	2	4	-2	5	9	+	-8	8	-3	-6	-7	9	0	2	3	7	-1	0	14	15	3

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Quadratic twists for elliptic curve 203a1

-4	8	-3	5	-7	-11	13	17	-19	-23	29
3248g1	12992r1	1827e1	5075c1	1421e1	24563f1	34307c1	58667d1	73283k1	107387c1	5887c1

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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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