Atkin-Lehner |
2- 3- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
13776t |
Isogeny class |
Conductor |
13776 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-284626580496384 = -1 · 213 · 3 · 710 · 41 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 4 1 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2024,-813132] |
[a1,a2,a3,a4,a6] |
j |
-223980311017/69488911254 |
j-invariant |
L |
4.9091673115071 |
L(r)(E,1)/r! |
Ω |
0.24545836557535 |
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 |
1722a1 55104cb1 41328cm1 96432bz1 |
Quadratic twists by: -4 8 -3 -7 |