Atkin-Lehner |
3- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
65403f |
Isogeny class |
Conductor |
65403 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
4085261506521 = 39 · 136 · 43 |
Discriminant |
Eigenvalues |
1 3- 2 0 0 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-37296,2779947] |
[a1,a2,a3,a4,a6] |
j |
1630532233/1161 |
j-invariant |
L |
3.0958498913405 |
L(r)(E,1)/r! |
Ω |
0.77396247330773 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21801g1 387d1 |
Quadratic twists by: -3 13 |