Atkin-Lehner |
2- 3- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
62928bm |
Isogeny class |
Conductor |
62928 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
942119755776 = 213 · 36 · 193 · 23 |
Discriminant |
Eigenvalues |
2- 3- -1 -2 -1 -2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2763,-30726] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:152:1] |
Generators of the group modulo torsion |
j |
781229961/315514 |
j-invariant |
L |
4.1108487474002 |
L(r)(E,1)/r! |
Ω |
0.68203197366929 |
Real period |
R |
0.50227957367384 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995178 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7866q1 6992t1 |
Quadratic twists by: -4 -3 |