Cremona's table of elliptic curves

73 = Prime conductor

Field	Data	Notes
Atkin-Lehner	73-	Signs for the Atkin-Lehner involutions
Class	73a	Isogeny class
Conductor	73	Conductor
∏ cp	1	Product of Tamagawa factors cp
Δ	73 = Prime discriminant	Discriminant
Eigenvalues	1  0  2  2 -2 -6  2  8	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-1,0]	[a1,a2,a3,a4,a6]
j	185193/73	j-invariant
L	1.1826604672413	L(r)(E,1)/r!
Ω	4.7306418689653	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	1168a1 4672a1 657d1 1825a1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 73a2

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

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Quadratic twists for elliptic curve 73a2

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31	37	41	73
1168a1	4672a1	657d1	1825a1	3577a1	8833c1	12337a1	21097a1	26353b1	38617a1	61393a1	70153a1	99937d1	122713a1	5329a1

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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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