Atkin-Lehner |
3- 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
9225be |
Isogeny class |
Conductor |
9225 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
47520 |
Modular degree for the optimal curve |
Δ |
-229806713671875 = -1 · 315 · 58 · 41 |
Discriminant |
Eigenvalues |
2 3- 5- -4 0 2 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-42375,3435781] |
[a1,a2,a3,a4,a6] |
j |
-29550530560/807003 |
j-invariant |
L |
3.340030479173 |
L(r)(E,1)/r! |
Ω |
0.55667174652884 |
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 |
3075e1 9225z1 |
Quadratic twists by: -3 5 |