Cremona's table of elliptic curves

11970 = 2 · 3² · 5 · 7 · 19

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 7+ 19-	Signs for the Atkin-Lehner involutions
Class	11970t	Isogeny class
Conductor	11970	Conductor
∏ cp	128	Product of Tamagawa factors cp
Δ	268139315001600 = 28 · 38 · 52 · 72 · 194	Discriminant
Eigenvalues	2+ 3- 5+ 7+ -4 -2 -2 19-	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-19395,683221]	[a1,a2,a3,a4,a6]
Generators	[-97:1331:1]	Generators of the group modulo torsion
j	1106822887395121/367817990400	j-invariant
L	2.5825981702816	L(r)(E,1)/r!
Ω	0.50784025846406	Real period
R	0.63568172452805	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	95760dm2 3990u2 59850fr2 83790by2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 11970t2

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

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Quadratic twists for elliptic curve 11970t2

-4	-3	5	-7
95760dm2	3990u2	59850fr2	83790by2

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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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