Cremona's table of elliptic curves

Curve 2760i1

2760 = 23 · 3 · 5 · 23



Data for elliptic curve 2760i1

Field Data Notes
Atkin-Lehner 2- 3- 5+ 23+ Signs for the Atkin-Lehner involutions
Class 2760i Isogeny class
Conductor 2760 Conductor
∏ cp 8 Product of Tamagawa factors cp
deg 768 Modular degree for the optimal curve
Δ -2384640 = -1 · 28 · 34 · 5 · 23 Discriminant
Eigenvalues 2- 3- 5+  3 -6 -2  3 -6 Hecke eigenvalues for primes up to 20
Equation [0,1,0,-201,1035] [a1,a2,a3,a4,a6]
Generators [9:-6:1] Generators of the group modulo torsion
j -3525581824/9315 j-invariant
L 3.766002791562 L(r)(E,1)/r!
Ω 2.5908144767285 Real period
R 0.18169975240361 Regulator
r 1 Rank of the group of rational points
S 1 (Analytic) order of Ш
t 1 Number of elements in the torsion subgroup
Twists 5520b1 22080p1 8280n1 13800h1 Quadratic twists by: -4 8 -3 5


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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