Atkin-Lehner |
2- 3- 23+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
35604g |
Isogeny class |
Conductor |
35604 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
15840 |
Modular degree for the optimal curve |
Δ |
-496034928 = -1 · 24 · 36 · 23 · 432 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 4 -5 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,195,-223] |
[a1,a2,a3,a4,a6] |
Generators |
[8:43:1] [224:3359:1] |
Generators of the group modulo torsion |
j |
70304000/42527 |
j-invariant |
L |
8.1828450204779 |
L(r)(E,1)/r! |
Ω |
0.96185056990288 |
Real period |
R |
4.2536986911097 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3956c1 |
Quadratic twists by: -3 |