Atkin-Lehner |
3+ 7+ 31- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
30597a |
Isogeny class |
Conductor |
30597 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
92000 |
Modular degree for the optimal curve |
Δ |
-279675152379 = -1 · 35 · 75 · 31 · 472 |
Discriminant |
Eigenvalues |
0 3+ -1 7+ 4 3 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-218891,39490643] |
[a1,a2,a3,a4,a6] |
j |
-1159870258025881698304/279675152379 |
j-invariant |
L |
1.5559009999315 |
L(r)(E,1)/r! |
Ω |
0.77795049996533 |
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 |
91791d1 |
Quadratic twists by: -3 |