Atkin-Lehner |
2+ 3- 7+ 19- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
126882s |
Isogeny class |
Conductor |
126882 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
47185920 |
Modular degree for the optimal curve |
Δ |
-2.1183493245937E+25 |
Discriminant |
Eigenvalues |
2+ 3- 4 7+ 0 0 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-20034810,-224109355932] |
[a1,a2,a3,a4,a6] |
Generators |
[10447189439040:-2888804271619854:136590875] |
Generators of the group modulo torsion |
j |
-1219977666883195995872161/29058289774947561704688 |
j-invariant |
L |
7.6891453426944 |
L(r)(E,1)/r! |
Ω |
0.029469782824157 |
Real period |
R |
13.045812708087 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999964306 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42294x1 |
Quadratic twists by: -3 |