Atkin-Lehner |
2- 5- 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
32450x |
Isogeny class |
Conductor |
32450 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-58482688000 = -1 · 216 · 53 · 112 · 59 |
Discriminant |
Eigenvalues |
2- -2 5- -2 11- -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,317,11457] |
[a1,a2,a3,a4,a6] |
Generators |
[2:-111:1] |
Generators of the group modulo torsion |
j |
28177720507/467861504 |
j-invariant |
L |
4.9470652220663 |
L(r)(E,1)/r! |
Ω |
0.82783335961509 |
Real period |
R |
0.37349494652268 |
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 |
32450k1 |
Quadratic twists by: 5 |