Cremona's table of elliptic curves

Curve 69696ba1

69696 = 26 · 32 · 112



Data for elliptic curve 69696ba1

Field Data Notes
Atkin-Lehner 2+ 3- 11+ Signs for the Atkin-Lehner involutions
Class 69696ba Isogeny class
Conductor 69696 Conductor
∏ cp 2 Product of Tamagawa factors cp
deg 46080 Modular degree for the optimal curve
Δ -15897378816 = -1 · 214 · 36 · 113 Discriminant
Eigenvalues 2+ 3-  1 -4 11+  4  4 -4 Hecke eigenvalues for primes up to 20
Equation [0,0,0,528,3872] [a1,a2,a3,a4,a6]
j 1024 j-invariant
L 1.6307355917733 L(r)(E,1)/r!
Ω 0.81536779581256 Real period
R 1 Regulator
r 0 Rank of the group of rational points
S 1 (Analytic) order of Ш
t 1 Number of elements in the torsion subgroup
Twists 69696ez1 8712r1 7744c1 69696z1 Quadratic twists by: -4 8 -3 -11


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