Atkin-Lehner |
2- 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
75504ck |
Isogeny class |
Conductor |
75504 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
1026432 |
Modular degree for the optimal curve |
Δ |
-1797322706498322432 = -1 · 215 · 39 · 118 · 13 |
Discriminant |
Eigenvalues |
2- 3- 2 2 11- 13+ -4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-100712,65630772] |
[a1,a2,a3,a4,a6] |
j |
-128667913/2047032 |
j-invariant |
L |
4.0211063066333 |
L(r)(E,1)/r! |
Ω |
0.22339479572401 |
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 |
9438d1 75504cy1 |
Quadratic twists by: -4 -11 |