Atkin-Lehner |
2- 3- 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
61920bw |
Isogeny class |
Conductor |
61920 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-2006208000 = -1 · 29 · 36 · 53 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 2 7 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-507,-4894] |
[a1,a2,a3,a4,a6] |
j |
-38614472/5375 |
j-invariant |
L |
2.9951917042351 |
L(r)(E,1)/r! |
Ω |
0.4991986173973 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61920cc1 123840fo1 6880a1 |
Quadratic twists by: -4 8 -3 |