Atkin-Lehner |
2+ 37+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
128686c |
Isogeny class |
Conductor |
128686 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
198720 |
Modular degree for the optimal curve |
Δ |
67468525568 = 220 · 372 · 47 |
Discriminant |
Eigenvalues |
2+ -2 2 2 1 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6800,214878] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:515:1] [6:414:1] |
Generators of the group modulo torsion |
j |
25395407751457/49283072 |
j-invariant |
L |
8.0629018669232 |
L(r)(E,1)/r! |
Ω |
1.1005537451876 |
Real period |
R |
3.6631113686873 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999940801 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128686f1 |
Quadratic twists by: 37 |