Atkin-Lehner |
2- 3- 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
32550cl |
Isogeny class |
Conductor |
32550 |
Conductor |
∏ cp |
1920 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
-2.3513119064064E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,714462,20026692] |
[a1,a2,a3,a4,a6] |
Generators |
[132:-10866:1] |
Generators of the group modulo torsion |
j |
2581315285024874663/1504839620100096 |
j-invariant |
L |
10.369645396372 |
L(r)(E,1)/r! |
Ω |
0.12892103773113 |
Real period |
R |
0.16757100539452 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97650bs1 1302a1 |
Quadratic twists by: -3 5 |