Cremona's table of elliptic curves

100672 = 2⁶ · 11² · 13

Field	Data	Notes
Atkin-Lehner	2+ 11- 13+	Signs for the Atkin-Lehner involutions
Class	100672bb	Isogeny class
Conductor	100672	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	522240	Modular degree for the optimal curve
Δ	-35620677819584 = -1 · 26 · 117 · 134	Discriminant
Eigenvalues	2+ -3 -1  4 11- 13+  4 -2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,7502,-141086]	[a1,a2,a3,a4,a6]
j	411830784/314171	j-invariant
L	1.4560180660833	L(r)(E,1)/r!
Ω	0.36400462580514	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	100672z1 50336ba1 9152p1	Quadratic twists by: -4 8 -11

Hecke Eigenvalues for elliptic curve 100672bb1

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
+	-3	-1	4	-	+	4	-2	-9	-8	7	1	10	10	-4	14	3	-4	-5	13	-6	10	6	15	9

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Quadratic twists for elliptic curve 100672bb1

-4	8	-11
100672z1	50336ba1	9152p1

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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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