Atkin-Lehner |
2+ 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
99176j |
Isogeny class |
Conductor |
99176 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
-1632873940563712 = -1 · 28 · 77 · 114 · 232 |
Discriminant |
Eigenvalues |
2+ -2 0 7- 11- -2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-181708,-29937216] |
[a1,a2,a3,a4,a6] |
Generators |
[503:2486:1] |
Generators of the group modulo torsion |
j |
-22030281250000/54215623 |
j-invariant |
L |
4.4585588322878 |
L(r)(E,1)/r! |
Ω |
0.11560106112476 |
Real period |
R |
4.8210617493852 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000106 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14168h1 |
Quadratic twists by: -7 |