Atkin-Lehner |
2- 5+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
32560j |
Isogeny class |
Conductor |
32560 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
62400 |
Modular degree for the optimal curve |
Δ |
-3905216184320 = -1 · 217 · 5 · 115 · 37 |
Discriminant |
Eigenvalues |
2- -1 5+ -5 11- -2 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2784,75520] |
[a1,a2,a3,a4,a6] |
Generators |
[16:-352:1] |
Generators of the group modulo torsion |
j |
582392067551/953421920 |
j-invariant |
L |
1.7739994607069 |
L(r)(E,1)/r! |
Ω |
0.53533010515091 |
Real period |
R |
0.16569210694838 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4070d1 |
Quadratic twists by: -4 |