Atkin-Lehner |
2+ 11- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
97526h |
Isogeny class |
Conductor |
97526 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
19968 |
Modular degree for the optimal curve |
Δ |
24186448 = 24 · 112 · 13 · 312 |
Discriminant |
Eigenvalues |
2+ 1 2 0 11- 13+ 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-190,-992] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:5:1] |
Generators of the group modulo torsion |
j |
6221702113/199888 |
j-invariant |
L |
6.493868582263 |
L(r)(E,1)/r! |
Ω |
1.2892586373295 |
Real period |
R |
1.2592253360014 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000029454 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97526bd1 |
Quadratic twists by: -11 |