Cremona's table of elliptic curves

102 = 2 · 3 · 17

Field	Data	Notes
Atkin-Lehner	2+ 3- 17+	Signs for the Atkin-Lehner involutions
Class	102c	Isogeny class
Conductor	102	Conductor
∏ cp	12	Product of Tamagawa factors cp
deg	24	Modular degree for the optimal curve
Δ	793152 = 26 · 36 · 17	Discriminant
Eigenvalues	2+ 3-  0  2  0  2 17+ -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-256,1550]	[a1,a2,a3,a4,a6]
j	1845026709625/793152	j-invariant
L	0.92868832812702	L(r)(E,1)/r!
Ω	2.7860649843811	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	6	Number of elements in the torsion subgroup
Twists	816e1 3264a1 306a1 2550v1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 102c1

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	2	0	2	+	-4	-6	0	-10	8	6	-4	12	6	-12	8	-4	6	2	-10	12	-18	14

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Quadratic twists for elliptic curve 102c1

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31
816e1	3264a1	306a1	2550v1	4998g1	12342bd1	17238n1	1734b1	36822p1	53958v1	85782m1	98022e1

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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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