Atkin-Lehner |
2+ 3- 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
75810bn |
Isogeny class |
Conductor |
75810 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
2321681250 = 2 · 3 · 55 · 73 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 3 6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1718,-27442] |
[a1,a2,a3,a4,a6] |
j |
1552110194161/6431250 |
j-invariant |
L |
3.708961388788 |
L(r)(E,1)/r! |
Ω |
0.7417922760214 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75810cj1 |
Quadratic twists by: -19 |