Atkin-Lehner |
2- 11+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
99704c |
Isogeny class |
Conductor |
99704 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
165792 |
Modular degree for the optimal curve |
Δ |
3885897794768 = 24 · 119 · 103 |
Discriminant |
Eigenvalues |
2- 0 2 -2 11+ 4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-45254,3704173] |
[a1,a2,a3,a4,a6] |
Generators |
[441510:510373:3375] |
Generators of the group modulo torsion |
j |
271669248/103 |
j-invariant |
L |
6.927103333431 |
L(r)(E,1)/r! |
Ω |
0.77026318889197 |
Real period |
R |
8.9931641959685 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002332 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99704a1 |
Quadratic twists by: -11 |