Atkin-Lehner |
2+ 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
30784f |
Isogeny class |
Conductor |
30784 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
67632448 = 26 · 134 · 37 |
Discriminant |
Eigenvalues |
2+ 1 4 1 -5 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-151,547] |
[a1,a2,a3,a4,a6] |
j |
5988906496/1056757 |
j-invariant |
L |
3.7244570835466 |
L(r)(E,1)/r! |
Ω |
1.8622285417756 |
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 |
30784g1 15392e1 |
Quadratic twists by: -4 8 |