Cremona's table of elliptic curves

13272 = 2³ · 3 · 7 · 79

Field	Data	Notes
Atkin-Lehner	2+ 3+ 7+ 79-	Signs for the Atkin-Lehner involutions
Class	13272b	Isogeny class
Conductor	13272	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	5636671488 = 211 · 32 · 72 · 792	Discriminant
Eigenvalues	2+ 3+  0 7+  0  4  2  6	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-568,-3572]	[a1,a2,a3,a4,a6]
j	9912955250/2752281	j-invariant
L	1.9965683502976	L(r)(E,1)/r!
Ω	0.99828417514878	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	26544e2 106176p2 39816h2 92904i2	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 13272b2

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

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Quadratic twists for elliptic curve 13272b2

-4	8	-3	-7
26544e2	106176p2	39816h2	92904i2

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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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