Atkin-Lehner |
2+ 3- 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
99216q |
Isogeny class |
Conductor |
99216 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
45056 |
Modular degree for the optimal curve |
Δ |
425934288 = 24 · 36 · 13 · 532 |
Discriminant |
Eigenvalues |
2+ 3- 4 -4 0 13- 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-198,-405] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:135:8] |
Generators of the group modulo torsion |
j |
73598976/36517 |
j-invariant |
L |
7.8799619614398 |
L(r)(E,1)/r! |
Ω |
1.3394339908396 |
Real period |
R |
2.9415267987345 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003881 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49608r1 11024c1 |
Quadratic twists by: -4 -3 |