Atkin-Lehner |
2+ 3+ 5+ 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
63240c |
Isogeny class |
Conductor |
63240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
3106981200 = 24 · 3 · 52 · 174 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 4 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-871,9820] |
[a1,a2,a3,a4,a6] |
j |
4572531595264/194186325 |
j-invariant |
L |
1.4070098223641 |
L(r)(E,1)/r! |
Ω |
1.4070098234817 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
126480l1 |
Quadratic twists by: -4 |