Atkin-Lehner |
2- 11+ 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
49192d |
Isogeny class |
Conductor |
49192 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
529086914559632 = 24 · 113 · 132 · 435 |
Discriminant |
Eigenvalues |
2- 2 -2 1 11+ 13+ -8 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-118464,-15615295] |
[a1,a2,a3,a4,a6] |
j |
11491231494114164992/33067932159977 |
j-invariant |
L |
1.0295270563773 |
L(r)(E,1)/r! |
Ω |
0.25738176411285 |
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 |
98384d1 |
Quadratic twists by: -4 |