Atkin-Lehner |
3- 5- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
30975bd |
Isogeny class |
Conductor |
30975 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
12700800 |
Modular degree for the optimal curve |
Δ |
-5.7927315200825E+26 |
Discriminant |
Eigenvalues |
1 3- 5- 7- -5 4 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-389140076,-3173501706577] |
[a1,a2,a3,a4,a6] |
Generators |
[23277:605236:1] |
Generators of the group modulo torsion |
j |
-3336656885364296609696069/296587853828223807717 |
j-invariant |
L |
8.0143578235181 |
L(r)(E,1)/r! |
Ω |
0.016910138313178 |
Real period |
R |
5.6421195345395 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92925bl1 30975n1 |
Quadratic twists by: -3 5 |