Atkin-Lehner |
3- 5+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
101475bq |
Isogeny class |
Conductor |
101475 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
34214400 |
Modular degree for the optimal curve |
Δ |
-35741376042075 = -1 · 39 · 52 · 116 · 41 |
Discriminant |
Eigenvalues |
0 3- 5+ -2 11- -2 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-16615025670,-824327215473704] |
[a1,a2,a3,a4,a6] |
j |
-27832949070669005254114225192960/1961118027 |
j-invariant |
L |
0.71807207320841 |
L(r)(E,1)/r! |
Ω |
0.0066488158538998 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33825a1 101475ch1 |
Quadratic twists by: -3 5 |