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	306c	Isogeny class
Conductor	306	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-2133912053412 = -1 · 22 · 322 · 17	Discriminant
Eigenvalues	2+ 3-  2  0  4 -2 17+  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,2034,60264]	[a1,a2,a3,a4,a6]
j	1276229915423/2927177028	j-invariant
L	1.1471740368869	L(r)(E,1)/r!
Ω	0.57358701844346	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	2448n4 9792k4 102b4 7650bz4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 306c4

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

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Quadratic twists for elliptic curve 306c4

-4	8	-3	5	-7	-11	13	17	-19
2448n4	9792k4	102b4	7650bz4	14994bh4	37026bj3	51714p3	5202b4	110466bj3

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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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