Atkin-Lehner |
2- 3- 19- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
121752bh |
Isogeny class |
Conductor |
121752 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
95232 |
Modular degree for the optimal curve |
Δ |
-64082704176 = -1 · 24 · 38 · 193 · 89 |
Discriminant |
Eigenvalues |
2- 3- -3 0 1 -1 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2694,55181] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:324:1] [10:171:1] |
Generators of the group modulo torsion |
j |
-185382602752/5494059 |
j-invariant |
L |
10.093311954664 |
L(r)(E,1)/r! |
Ω |
1.1000228719277 |
Real period |
R |
0.38231447334356 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999959761 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40584d1 |
Quadratic twists by: -3 |