Atkin-Lehner |
2- 11- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
97526w |
Isogeny class |
Conductor |
97526 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1322496 |
Modular degree for the optimal curve |
Δ |
177263992818085888 = 212 · 112 · 13 · 317 |
Discriminant |
Eigenvalues |
2- 0 0 -3 11- 13- 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-959025,-360679327] |
[a1,a2,a3,a4,a6] |
j |
806171986679734211625/1464991676182528 |
j-invariant |
L |
1.8309257962057 |
L(r)(E,1)/r! |
Ω |
0.15257715582288 |
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 |
97526d1 |
Quadratic twists by: -11 |