Atkin-Lehner |
2+ 5+ 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
119560a |
Isogeny class |
Conductor |
119560 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
295680 |
Modular degree for the optimal curve |
Δ |
28132228880 = 24 · 5 · 78 · 61 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7+ 2 2 7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-25496,1558465] |
[a1,a2,a3,a4,a6] |
j |
19872504064/305 |
j-invariant |
L |
2.1637988809757 |
L(r)(E,1)/r! |
Ω |
1.0818993211459 |
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 |
119560m1 |
Quadratic twists by: -7 |