Atkin-Lehner |
3- 43+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
25929b |
Isogeny class |
Conductor |
25929 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
14336 |
Modular degree for the optimal curve |
Δ |
-4593244563 = -1 · 313 · 43 · 67 |
Discriminant |
Eigenvalues |
2 3- -2 -1 3 2 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,339,-2205] |
[a1,a2,a3,a4,a6] |
Generators |
[6116:60781:64] |
Generators of the group modulo torsion |
j |
5910106112/6300747 |
j-invariant |
L |
9.4260655724851 |
L(r)(E,1)/r! |
Ω |
0.74444826635612 |
Real period |
R |
6.3309070612947 |
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 |
8643a1 |
Quadratic twists by: -3 |