Atkin-Lehner |
2- 19- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
59926f |
Isogeny class |
Conductor |
59926 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
18992986710272 = 28 · 197 · 83 |
Discriminant |
Eigenvalues |
2- 0 -2 0 4 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-13786,590105] |
[a1,a2,a3,a4,a6] |
Generators |
[1461:-205:27] |
Generators of the group modulo torsion |
j |
6158676537/403712 |
j-invariant |
L |
7.9018591086478 |
L(r)(E,1)/r! |
Ω |
0.67466809129276 |
Real period |
R |
5.8561085150618 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000162 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3154b1 |
Quadratic twists by: -19 |