Atkin-Lehner |
2- 3- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
75810cz |
Isogeny class |
Conductor |
75810 |
Conductor |
∏ cp |
1824 |
Product of Tamagawa factors cp |
deg |
275788800 |
Modular degree for the optimal curve |
Δ |
1.059081296886E+30 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 6 2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-12128446071,-511720931019735] |
[a1,a2,a3,a4,a6] |
j |
4193895363953824558241038009/22511668914990297907200 |
j-invariant |
L |
6.5622603115038 |
L(r)(E,1)/r! |
Ω |
0.014390921770491 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3990c1 |
Quadratic twists by: -19 |