Atkin-Lehner |
5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
93025j |
Isogeny class |
Conductor |
93025 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
416640 |
Modular degree for the optimal curve |
Δ |
392842854502625 = 53 · 617 |
Discriminant |
Eigenvalues |
1 -2 5- 4 0 -4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-29846,1737963] |
[a1,a2,a3,a4,a6] |
j |
456533/61 |
j-invariant |
L |
2.0555371389685 |
L(r)(E,1)/r! |
Ω |
0.51388433232864 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
93025k1 1525c1 |
Quadratic twists by: 5 61 |