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	64	Product of Tamagawa factors cp
Δ	2928816371731600 = 24 · 52 · 712 · 232	Discriminant
Eigenvalues	2-  0 5- 7-  0  6  2  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-112587,-14277301]	[a1,a2,a3,a4,a6]
j	1341518286067569/24894528400	j-invariant
L	4.1748138069821	L(r)(E,1)/r!
Ω	0.26092586293638	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	90160cx2 101430bk2 56350j2 1610c2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 11270o2

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 11270o2

-4	-3	5	-7
90160cx2	101430bk2	56350j2	1610c2

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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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