Atkin-Lehner |
2- 41+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
112832ba |
Isogeny class |
Conductor |
112832 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-1893006835712 = -1 · 230 · 41 · 43 |
Discriminant |
Eigenvalues |
2- 1 0 1 0 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-25153,-1545281] |
[a1,a2,a3,a4,a6] |
Generators |
[4047210217899:-371568893038460:480048687] |
Generators of the group modulo torsion |
j |
-6713831364625/7221248 |
j-invariant |
L |
8.2196683301318 |
L(r)(E,1)/r! |
Ω |
0.1895364161423 |
Real period |
R |
21.683612303719 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112832d1 28208e1 |
Quadratic twists by: -4 8 |