Atkin-Lehner |
2+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
25432r |
Isogeny class |
Conductor |
25432 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
107712 |
Modular degree for the optimal curve |
Δ |
-19643732953856 = -1 · 28 · 11 · 178 |
Discriminant |
Eigenvalues |
2+ 3 1 -4 11- 4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4913,167042] |
[a1,a2,a3,a4,a6] |
Generators |
[6069:95948:27] |
Generators of the group modulo torsion |
j |
7344/11 |
j-invariant |
L |
9.2982299432967 |
L(r)(E,1)/r! |
Ω |
0.46531103682727 |
Real period |
R |
3.3304711642263 |
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 |
50864o1 25432e1 |
Quadratic twists by: -4 17 |