Cremona's table of elliptic curves

11270 = 2 · 5 · 7² · 23

Field	Data	Notes
Atkin-Lehner	2- 5- 7- 23+	Signs for the Atkin-Lehner involutions
Class	11270o	Isogeny class
Conductor	11270	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-749070255038806540 = -1 · 22 · 5 · 718 · 23	Discriminant
Eigenvalues	2-  0 5- 7-  0  6  2  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,113,-41640861]	[a1,a2,a3,a4,a6]
j	1367631/6366992112460	j-invariant
L	4.1748138069821	L(r)(E,1)/r!
Ω	0.13046293146819	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	16	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	90160cx3 101430bk3 56350j3 1610c4	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 11270o4

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	6	2	4	+	-2	8	10	-2	-4	4	-6	-4	-10	-12	-8	2	12	-4	18	-14

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Quadratic twists for elliptic curve 11270o4

-4	-3	5	-7
90160cx3	101430bk3	56350j3	1610c4

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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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