Atkin-Lehner |
2- 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
48734c |
Isogeny class |
Conductor |
48734 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
765600 |
Modular degree for the optimal curve |
Δ |
-83653531010705866 = -1 · 2 · 75 · 597 |
Discriminant |
Eigenvalues |
2- 2 -3 7+ -6 2 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,71288,11860627] |
[a1,a2,a3,a4,a6] |
Generators |
[187141570:4918563539:343000] |
Generators of the group modulo torsion |
j |
949862087/1983226 |
j-invariant |
L |
9.478923652273 |
L(r)(E,1)/r! |
Ω |
0.23643517295314 |
Real period |
R |
10.02275119841 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000025 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
826a1 |
Quadratic twists by: -59 |