Atkin-Lehner |
2- 5- 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
106930y |
Isogeny class |
Conductor |
106930 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
622080 |
Modular degree for the optimal curve |
Δ |
-15182530901000 = -1 · 23 · 53 · 177 · 37 |
Discriminant |
Eigenvalues |
2- -3 5- 0 4 6 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,3558,167841] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:299:1] |
Generators of the group modulo torsion |
j |
206425071/629000 |
j-invariant |
L |
8.0353448497338 |
L(r)(E,1)/r! |
Ω |
0.49363203207291 |
Real period |
R |
0.45216681378125 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021547 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6290g1 |
Quadratic twists by: 17 |