Atkin-Lehner |
2- 3- 5- 67- |
Signs for the Atkin-Lehner involutions |
Class |
10050bm |
Isogeny class |
Conductor |
10050 |
Conductor |
∏ cp |
156 |
Product of Tamagawa factors cp |
deg |
12480 |
Modular degree for the optimal curve |
Δ |
-50015232000 = -1 · 213 · 36 · 53 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 3 -4 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2618,52452] |
[a1,a2,a3,a4,a6] |
Generators |
[52:-266:1] |
Generators of the group modulo torsion |
j |
-15875704027637/400121856 |
j-invariant |
L |
7.3275719017478 |
L(r)(E,1)/r! |
Ω |
1.1250504908426 |
Real period |
R |
0.041750672647245 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80400ck1 30150bl1 10050g1 |
Quadratic twists by: -4 -3 5 |