Atkin-Lehner |
3- 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
25773t |
Isogeny class |
Conductor |
25773 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-1132027479 = -1 · 32 · 116 · 71 |
Discriminant |
Eigenvalues |
-1 3- 2 -2 11- 2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,58,-1605] |
[a1,a2,a3,a4,a6] |
Generators |
[685:17590:1] |
Generators of the group modulo torsion |
j |
12167/639 |
j-invariant |
L |
4.4295771342627 |
L(r)(E,1)/r! |
Ω |
0.73944094151571 |
Real period |
R |
5.9904407310514 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
77319u1 213a1 |
Quadratic twists by: -3 -11 |