Atkin-Lehner |
2- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
59290df |
Isogeny class |
Conductor |
59290 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
1474560 |
Modular degree for the optimal curve |
Δ |
-2.8245400949661E+19 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 11- 0 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,192569,253703869] |
[a1,a2,a3,a4,a6] |
j |
3789119879/135520000 |
j-invariant |
L |
5.0815804913637 |
L(r)(E,1)/r! |
Ω |
0.15879939045369 |
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 |
8470bg1 5390j1 |
Quadratic twists by: -7 -11 |