Atkin-Lehner |
2+ 3- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
62928k |
Isogeny class |
Conductor |
62928 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
-1875757824 = -1 · 28 · 36 · 19 · 232 |
Discriminant |
Eigenvalues |
2+ 3- -1 5 3 4 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,252,1404] |
[a1,a2,a3,a4,a6] |
j |
9483264/10051 |
j-invariant |
L |
3.9250972854037 |
L(r)(E,1)/r! |
Ω |
0.98127432342397 |
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 |
31464b1 6992e1 |
Quadratic twists by: -4 -3 |