Atkin-Lehner |
2- 5- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
81340n |
Isogeny class |
Conductor |
81340 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
15662592 |
Modular degree for the optimal curve |
Δ |
-5.1282931547452E+22 |
Discriminant |
Eigenvalues |
2- -3 5- 7- 3 -3 5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-37342312,88504628884] |
[a1,a2,a3,a4,a6] |
j |
-191204943430809083904/1702725491565875 |
j-invariant |
L |
1.3564487936205 |
L(r)(E,1)/r! |
Ω |
0.11303740009968 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11620c1 |
Quadratic twists by: -7 |