Atkin-Lehner |
3- 7- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
25641j |
Isogeny class |
Conductor |
25641 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-2074844079 = -1 · 39 · 7 · 11 · 372 |
Discriminant |
Eigenvalues |
1 3- 2 7- 11- -2 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,279,1192] |
[a1,a2,a3,a4,a6] |
j |
3288008303/2846151 |
j-invariant |
L |
3.8197186848398 |
L(r)(E,1)/r! |
Ω |
0.95492967120997 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8547c1 |
Quadratic twists by: -3 |