Atkin-Lehner |
2+ 3- 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
123840dl |
Isogeny class |
Conductor |
123840 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
2764800 |
Modular degree for the optimal curve |
Δ |
-841464623923200000 = -1 · 233 · 36 · 55 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5- -5 -2 5 -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-815052,-286639504] |
[a1,a2,a3,a4,a6] |
j |
-313337384670961/4403200000 |
j-invariant |
L |
1.587596855459 |
L(r)(E,1)/r! |
Ω |
0.07937984863582 |
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 |
123840ge1 3870f1 13760e1 |
Quadratic twists by: -4 8 -3 |