Atkin-Lehner |
2- 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
78650df |
Isogeny class |
Conductor |
78650 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
97200 |
Modular degree for the optimal curve |
Δ |
-57575732500 = -1 · 22 · 54 · 116 · 13 |
Discriminant |
Eigenvalues |
2- -2 5- 1 11- 13+ -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3088,-67308] |
[a1,a2,a3,a4,a6] |
j |
-2941225/52 |
j-invariant |
L |
1.9193099986608 |
L(r)(E,1)/r! |
Ω |
0.31988500486974 |
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 |
78650s1 650g1 |
Quadratic twists by: 5 -11 |