Atkin-Lehner |
2- 3- 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
91350et |
Isogeny class |
Conductor |
91350 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-16788718185750000 = -1 · 24 · 39 · 56 · 76 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-99230,-13525603] |
[a1,a2,a3,a4,a6] |
Generators |
[663:14221:1] |
Generators of the group modulo torsion |
j |
-9486391169809/1473906672 |
j-invariant |
L |
10.928411723741 |
L(r)(E,1)/r! |
Ω |
0.13335476471882 |
Real period |
R |
1.7072899082911 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009559 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30450bb1 3654l1 |
Quadratic twists by: -3 5 |