Atkin-Lehner |
2- 13- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
50752k |
Isogeny class |
Conductor |
50752 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
188928 |
Modular degree for the optimal curve |
Δ |
-4286073798656 = -1 · 219 · 133 · 612 |
Discriminant |
Eigenvalues |
2- 3 -3 3 2 13- -5 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3956,-27376] |
[a1,a2,a3,a4,a6] |
Generators |
[516:6344:27] |
Generators of the group modulo torsion |
j |
26118765063/16350074 |
j-invariant |
L |
10.783610463227 |
L(r)(E,1)/r! |
Ω |
0.44787764174357 |
Real period |
R |
2.0064279202969 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999768 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50752d1 12688e1 |
Quadratic twists by: -4 8 |