Atkin-Lehner |
2+ 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
72600cd |
Isogeny class |
Conductor |
72600 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
44352000 |
Modular degree for the optimal curve |
Δ |
-2.4462379552644E+27 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 11- -4 1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2325887208,-43241177922912] |
[a1,a2,a3,a4,a6] |
j |
-1963692857508260740/3452093881137 |
j-invariant |
L |
0.95644346885116 |
L(r)(E,1)/r! |
Ω |
0.010868675914134 |
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 |
72600cu1 6600bf1 |
Quadratic twists by: 5 -11 |