Atkin-Lehner |
2- 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
60648ba |
Isogeny class |
Conductor |
60648 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-309050790528816 = -1 · 24 · 32 · 74 · 197 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- -4 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,14681,-501536] |
[a1,a2,a3,a4,a6] |
j |
464857088/410571 |
j-invariant |
L |
1.1977489863233 |
L(r)(E,1)/r! |
Ω |
0.29943724724586 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
121296bb1 3192i1 |
Quadratic twists by: -4 -19 |