Atkin-Lehner |
2- 3- 23+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
50508a |
Isogeny class |
Conductor |
50508 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-528069019248 = -1 · 24 · 36 · 233 · 612 |
Discriminant |
Eigenvalues |
2- 3- 0 0 4 -5 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6165,-189567] |
[a1,a2,a3,a4,a6] |
j |
-2221648992000/45273407 |
j-invariant |
L |
2.1525437383142 |
L(r)(E,1)/r! |
Ω |
0.26906796738349 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5612a1 |
Quadratic twists by: -3 |