Atkin-Lehner |
2- 5- 29- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
107300q |
Isogeny class |
Conductor |
107300 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
10730000 = 24 · 54 · 29 · 37 |
Discriminant |
Eigenvalues |
2- -2 5- 1 -6 -6 -7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-58,-87] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:-5:1] [-6:9:1] |
Generators of the group modulo torsion |
j |
2195200/1073 |
j-invariant |
L |
7.2199393400293 |
L(r)(E,1)/r! |
Ω |
1.8151361694477 |
Real period |
R |
0.44195884351259 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999994825 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107300m1 |
Quadratic twists by: 5 |