Atkin-Lehner |
3- 13- 17- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
85527h |
Isogeny class |
Conductor |
85527 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
3872577033 = 36 · 132 · 17 · 432 |
Discriminant |
Eigenvalues |
-1 3- 0 -2 0 13- 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-410,1208] |
[a1,a2,a3,a4,a6] |
Generators |
[-138:497:8] [-6:61:1] |
Generators of the group modulo torsion |
j |
10431681625/5312177 |
j-invariant |
L |
6.8299859267047 |
L(r)(E,1)/r! |
Ω |
1.2317257784099 |
Real period |
R |
2.7725269887114 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000056 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9503d1 |
Quadratic twists by: -3 |