Cremona's table of elliptic curves

Curve 11613c2

11613 = 3 · 72 · 79



Data for elliptic curve 11613c2

Field Data Notes
Atkin-Lehner 3- 7- 79+ Signs for the Atkin-Lehner involutions
Class 11613c Isogeny class
Conductor 11613 Conductor
∏ cp 32 Product of Tamagawa factors cp
Δ 2988005889519 = 38 · 78 · 79 Discriminant
Eigenvalues  1 3- -2 7-  0 -6  0  6 Hecke eigenvalues for primes up to 20
Equation [1,0,1,-20067,-1092605] [a1,a2,a3,a4,a6]
Generators [-85:69:1] Generators of the group modulo torsion
j 7595418586393/25397631 j-invariant
L 5.4039975650669 L(r)(E,1)/r!
Ω 0.40120732313636 Real period
R 1.6836674125307 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 34839i2 1659b2 Quadratic twists by: -3 -7


Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations