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	11270k	Isogeny class
Conductor	11270	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-790481561554090 = -1 · 2 · 5 · 710 · 234	Discriminant
Eigenvalues	2-  0 5+ 7- -4  2  6  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-23848,1965317]	[a1,a2,a3,a4,a6]
Generators	[318:8147:8]	Generators of the group modulo torsion
j	-12748946194881/6718982410	j-invariant
L	6.0989096637145	L(r)(E,1)/r!
Ω	0.46844926994736	Real period
R	6.5096799749521	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	90160by3 101430cm3 56350n3 1610f4	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 11270k4

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

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Quadratic twists for elliptic curve 11270k4

-4	-3	5	-7
90160by3	101430cm3	56350n3	1610f4

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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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