Atkin-Lehner |
2- 3- 5- 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
43290ch |
Isogeny class |
Conductor |
43290 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
497664 |
Modular degree for the optimal curve |
Δ |
559916884238400 = 26 · 312 · 52 · 13 · 373 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -6 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-126707,-17290861] |
[a1,a2,a3,a4,a6] |
Generators |
[-1698:1511:8] [-203:286:1] |
Generators of the group modulo torsion |
j |
308599199835781609/768061569600 |
j-invariant |
L |
12.436570307126 |
L(r)(E,1)/r! |
Ω |
0.25308396322973 |
Real period |
R |
1.3650026730278 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14430u1 |
Quadratic twists by: -3 |