Cremona's table of elliptic curves

10912 = 2⁵ · 11 · 31

Field	Data	Notes
Atkin-Lehner	2+ 11+ 31-	Signs for the Atkin-Lehner involutions
Class	10912a	Isogeny class
Conductor	10912	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	52800	Modular degree for the optimal curve
Δ	-2456509614592 = -1 · 29 · 115 · 313	Discriminant
Eigenvalues	2+  2  0  1 11+  4  7  6	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-353688,81079556]	[a1,a2,a3,a4,a6]
j	-9556876080347597000/4797870341	j-invariant
L	4.0029500832346	L(r)(E,1)/r!
Ω	0.66715834720577	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	10912f1 21824o1 98208ba1 120032i1	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for elliptic curve 10912a1

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	1	+	4	7	6	1	-2	-	3	0	3	6	6	-3	-12	-5	-4	14	14	11	-8	1

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Quadratic twists for elliptic curve 10912a1

-4	8	-3	-11
10912f1	21824o1	98208ba1	120032i1

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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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