Atkin-Lehner |
3- 7- 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
40887i |
Isogeny class |
Conductor |
40887 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
13312 |
Modular degree for the optimal curve |
Δ |
-69548787 = -1 · 37 · 72 · 11 · 59 |
Discriminant |
Eigenvalues |
2 3- 0 7- 11+ 5 5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-75,-473] |
[a1,a2,a3,a4,a6] |
j |
-64000000/95403 |
j-invariant |
L |
6.1615588468488 |
L(r)(E,1)/r! |
Ω |
0.77019485586509 |
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 |
13629a1 |
Quadratic twists by: -3 |