Atkin-Lehner |
2- 3+ 5- 29- 37- |
Signs for the Atkin-Lehner involutions |
Class |
32190r |
Isogeny class |
Conductor |
32190 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-37807155000 = -1 · 23 · 35 · 54 · 292 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 5 -5 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-50,9335] |
[a1,a2,a3,a4,a6] |
Generators |
[23:133:1] |
Generators of the group modulo torsion |
j |
-13841287201/37807155000 |
j-invariant |
L |
8.4036795095401 |
L(r)(E,1)/r! |
Ω |
0.92698017253246 |
Real period |
R |
0.37773549345818 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96570c1 |
Quadratic twists by: -3 |