Cremona's table of elliptic curves

12920 = 2³ · 5 · 17 · 19

Field	Data	Notes
Atkin-Lehner	2+ 5- 17+ 19-	Signs for the Atkin-Lehner involutions
Class	12920d	Isogeny class
Conductor	12920	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	3514240000 = 210 · 54 · 172 · 19	Discriminant
Eigenvalues	2+  0 5-  2  6 -2 17+ 19-	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-547,4014]	[a1,a2,a3,a4,a6]
Generators	[23:60:1]	Generators of the group modulo torsion
j	17676070884/3431875	j-invariant
L	5.4418071637494	L(r)(E,1)/r!
Ω	1.334476626035	Real period
R	1.019464683304	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	25840d2 103360a2 116280br2 64600y2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 12920d2

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

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Quadratic twists for elliptic curve 12920d2

-4	8	-3	5
25840d2	103360a2	116280br2	64600y2

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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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