Atkin-Lehner |
3- 5+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
49725s |
Isogeny class |
Conductor |
49725 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
934666311515625 = 36 · 56 · 136 · 17 |
Discriminant |
Eigenvalues |
-1 3- 5+ 2 -6 13- 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-164855,-25679978] |
[a1,a2,a3,a4,a6] |
j |
43499078731809/82055753 |
j-invariant |
L |
1.4217547679881 |
L(r)(E,1)/r! |
Ω |
0.23695912800871 |
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 |
5525d1 1989b1 |
Quadratic twists by: -3 5 |