Atkin-Lehner |
2- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
25432u |
Isogeny class |
Conductor |
25432 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
122400 |
Modular degree for the optimal curve |
Δ |
-157149863630848 = -1 · 211 · 11 · 178 |
Discriminant |
Eigenvalues |
2- 2 -4 2 11+ -1 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-27840,1896236] |
[a1,a2,a3,a4,a6] |
Generators |
[427465:1737378:4913] |
Generators of the group modulo torsion |
j |
-167042/11 |
j-invariant |
L |
5.852651927389 |
L(r)(E,1)/r! |
Ω |
0.56697103867052 |
Real period |
R |
10.322664701027 |
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 |
50864y1 25432y1 |
Quadratic twists by: -4 17 |