Atkin-Lehner |
2- 5+ 29- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
59450q |
Isogeny class |
Conductor |
59450 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
129600 |
Modular degree for the optimal curve |
Δ |
-10775312500000 = -1 · 25 · 510 · 292 · 41 |
Discriminant |
Eigenvalues |
2- -2 5+ -1 4 5 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-638,-158108] |
[a1,a2,a3,a4,a6] |
Generators |
[58:0:1] |
Generators of the group modulo torsion |
j |
-2941225/1103392 |
j-invariant |
L |
7.5557109966944 |
L(r)(E,1)/r! |
Ω |
0.32293591336864 |
Real period |
R |
2.3396936307417 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000305 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59450h1 |
Quadratic twists by: 5 |