Atkin-Lehner |
2- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
87362bg |
Isogeny class |
Conductor |
87362 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
32313600 |
Modular degree for the optimal curve |
Δ |
-6.3609627514179E+23 |
Discriminant |
Eigenvalues |
2- 0 -1 4 11- -5 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-978790198,-11786254533655] |
[a1,a2,a3,a4,a6] |
j |
-84985354223649/521284 |
j-invariant |
L |
2.6451667218082 |
L(r)(E,1)/r! |
Ω |
0.013495749120851 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
49 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87362l1 4598c1 |
Quadratic twists by: -11 -19 |