Atkin-Lehner |
3- 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
25773u |
Isogeny class |
Conductor |
25773 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
156288 |
Modular degree for the optimal curve |
Δ |
-7089705844552881 = -1 · 38 · 118 · 712 |
Discriminant |
Eigenvalues |
-1 3- -3 -2 11- -1 1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-142722,21132981] |
[a1,a2,a3,a4,a6] |
Generators |
[615:-13194:1] |
Generators of the group modulo torsion |
j |
-1499875426753/33074001 |
j-invariant |
L |
2.4064342347063 |
L(r)(E,1)/r! |
Ω |
0.41924390905964 |
Real period |
R |
0.11958205109964 |
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 |
77319v1 25773s1 |
Quadratic twists by: -3 -11 |