Atkin-Lehner |
2+ 3+ 31- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
20646f |
Isogeny class |
Conductor |
20646 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10454400 |
Modular degree for the optimal curve |
Δ |
-4.1304429031897E+22 |
Discriminant |
Eigenvalues |
2+ 3+ -2 1 3 -5 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2711057838,-54331397684524] |
[a1,a2,a3,a4,a6] |
j |
-111956359660351895641606773939/2098482397596778496 |
j-invariant |
L |
0.75321222325932 |
L(r)(E,1)/r! |
Ω |
0.010461280878602 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20646p1 |
Quadratic twists by: -3 |