Atkin-Lehner |
3+ 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
20787c |
Isogeny class |
Conductor |
20787 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12096 |
Modular degree for the optimal curve |
Δ |
7718067591 = 3 · 137 · 41 |
Discriminant |
Eigenvalues |
1 3+ 3 2 1 13+ 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1186,-15647] |
[a1,a2,a3,a4,a6] |
j |
38272753/1599 |
j-invariant |
L |
3.2621908228488 |
L(r)(E,1)/r! |
Ω |
0.8155477057122 |
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 |
62361f1 1599a1 |
Quadratic twists by: -3 13 |