Atkin-Lehner |
3- 5- 7- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
101745bn |
Isogeny class |
Conductor |
101745 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
-1454166988257375 = -1 · 37 · 53 · 74 · 17 · 194 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- -4 -2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-51872,4916346] |
[a1,a2,a3,a4,a6] |
Generators |
[-244:1854:1] [-1322:24597:8] |
Generators of the group modulo torsion |
j |
-21173239699787449/1994742096375 |
j-invariant |
L |
7.9453131786089 |
L(r)(E,1)/r! |
Ω |
0.46755992023255 |
Real period |
R |
1.4160953555699 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000888 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
33915c1 |
Quadratic twists by: -3 |