Atkin-Lehner |
2- 5- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
126400cl |
Isogeny class |
Conductor |
126400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
133632 |
Modular degree for the optimal curve |
Δ |
-103546880000 = -1 · 221 · 54 · 79 |
Discriminant |
Eigenvalues |
2- 1 5- 4 0 4 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2433,-49537] |
[a1,a2,a3,a4,a6] |
Generators |
[925975:2091712:15625] |
Generators of the group modulo torsion |
j |
-9725425/632 |
j-invariant |
L |
11.269405393415 |
L(r)(E,1)/r! |
Ω |
0.33860351260952 |
Real period |
R |
8.3205024190743 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009155 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126400bf1 31600x1 126400bm1 |
Quadratic twists by: -4 8 5 |