Cremona's table of elliptic curves

306 = 2 · 3² · 17

Field	Data	Notes
Atkin-Lehner	2- 3- 17-	Signs for the Atkin-Lehner involutions
Class	306a	Isogeny class
Conductor	306	Conductor
∏ cp	108	Product of Tamagawa factors cp
Δ	8450000289792 = 218 · 38 · 173	Discriminant
Eigenvalues	2- 3-  0  2  0  2 17- -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-6755,163235]	[a1,a2,a3,a4,a6]
j	46753267515625/11591221248	j-invariant
L	2.0683060777422	L(r)(E,1)/r!
Ω	0.6894353592474	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	2448p3 9792p3 102c3 7650p3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 306a3

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 306a3

-4	8	-3	5	-7	-11	13	17	-19
2448p3	9792p3	102c3	7650p3	14994ce3	37026g3	51714f3	5202h3	110466q3

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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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