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	216	Product of Tamagawa factors cp
Δ	-729753247683072 = -1 · 29 · 310 · 176	Discriminant
Eigenvalues	2- 3-  0  2  0  2 17- -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,16285,1020323]	[a1,a2,a3,a4,a6]
j	655215969476375/1001033261568	j-invariant
L	2.0683060777422	L(r)(E,1)/r!
Ω	0.3447176796237	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	2448p4 9792p4 102c4 7650p4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 306a4

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 306a4

-4	8	-3	5	-7	-11	13	17	-19
2448p4	9792p4	102c4	7650p4	14994ce4	37026g4	51714f4	5202h4	110466q4

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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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