Atkin-Lehner |
2- 3+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
75810cf |
Isogeny class |
Conductor |
75810 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7257600 |
Modular degree for the optimal curve |
Δ |
-7.5026644347974E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 3 -5 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3826066,-5067647887] |
[a1,a2,a3,a4,a6] |
j |
-131661708271504489/159475479581250 |
j-invariant |
L |
3.7145102354286 |
L(r)(E,1)/r! |
Ω |
0.0515904199752 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3990o1 |
Quadratic twists by: -19 |