Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
121680ea |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
7741440 |
Modular degree for the optimal curve |
Δ |
1.4989285422858E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 2 13+ -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20467083,-35634667718] |
[a1,a2,a3,a4,a6] |
Generators |
[28270957:4017840138:1331] |
Generators of the group modulo torsion |
j |
65787589563409/10400000 |
j-invariant |
L |
5.608875807491 |
L(r)(E,1)/r! |
Ω |
0.070980603365326 |
Real period |
R |
9.8774797799615 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020338 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15210bj1 13520be1 9360by1 |
Quadratic twists by: -4 -3 13 |