Atkin-Lehner |
5+ 37+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
76775b |
Isogeny class |
Conductor |
76775 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
125280 |
Modular degree for the optimal curve |
Δ |
-149951171875 = -1 · 511 · 37 · 83 |
Discriminant |
Eigenvalues |
0 -2 5+ 0 5 4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-28033,1797344] |
[a1,a2,a3,a4,a6] |
j |
-155929364660224/9596875 |
j-invariant |
L |
1.9499776128809 |
L(r)(E,1)/r! |
Ω |
0.97498877931638 |
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 |
15355a1 |
Quadratic twists by: 5 |