Atkin-Lehner |
2+ 3+ 5+ 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
115050c |
Isogeny class |
Conductor |
115050 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
720000 |
Modular degree for the optimal curve |
Δ |
-20537144062500000 = -1 · 25 · 3 · 510 · 135 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 0 13+ -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-12825,-6922875] |
[a1,a2,a3,a4,a6] |
Generators |
[1863655434787:36914502388862:3966822287] |
Generators of the group modulo torsion |
j |
-23891790625/2103003552 |
j-invariant |
L |
3.5851811697463 |
L(r)(E,1)/r! |
Ω |
0.1696444360795 |
Real period |
R |
21.133502828623 |
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 |
115050cg1 |
Quadratic twists by: 5 |