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	306d	Isogeny class
Conductor	306	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-34130322 = -1 · 2 · 310 · 172	Discriminant
Eigenvalues	2- 3-  4 -2  0 -6 17-  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,67,-201]	[a1,a2,a3,a4,a6]
j	46268279/46818	j-invariant
L	2.2491921793764	L(r)(E,1)/r!
Ω	1.1245960896882	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	2448t2 9792bb2 102a2 7650o2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 306d2

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
-	-	4	-2	0	-6	-	4	-6	4	-6	-4	10	-4	-4	2	-12	-4	-12	6	2	10	12	2	6

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Quadratic twists for elliptic curve 306d2

-4	8	-3	5	-7	-11	13	17	-19
2448t2	9792bb2	102a2	7650o2	14994cs2	37026p2	51714k2	5202l2	110466w2

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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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