Atkin-Lehner |
2- 5+ 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
38350r |
Isogeny class |
Conductor |
38350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
608256 |
Modular degree for the optimal curve |
Δ |
-4050718750000 = -1 · 24 · 59 · 133 · 59 |
Discriminant |
Eigenvalues |
2- 2 5+ 1 3 13+ 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3010463,2009217781] |
[a1,a2,a3,a4,a6] |
j |
-193109472180150844969/259246000 |
j-invariant |
L |
7.9785554744514 |
L(r)(E,1)/r! |
Ω |
0.49865971715403 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7670a1 |
Quadratic twists by: 5 |