Atkin-Lehner |
3- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
98397z |
Isogeny class |
Conductor |
98397 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-215194239 = -1 · 39 · 13 · 292 |
Discriminant |
Eigenvalues |
1 3- 3 0 -3 13- -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-288,2083] |
[a1,a2,a3,a4,a6] |
Generators |
[26:95:1] |
Generators of the group modulo torsion |
j |
-4317433/351 |
j-invariant |
L |
9.5410362661752 |
L(r)(E,1)/r! |
Ω |
1.739247057819 |
Real period |
R |
1.3714319953105 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015517 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32799e1 98397bb1 |
Quadratic twists by: -3 29 |