Atkin-Lehner |
2+ 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
122400c |
Isogeny class |
Conductor |
122400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-7171875000000 = -1 · 26 · 33 · 512 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 4 -2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1425,-130500] |
[a1,a2,a3,a4,a6] |
Generators |
[181:2354:1] |
Generators of the group modulo torsion |
j |
-11852352/265625 |
j-invariant |
L |
6.4791994334255 |
L(r)(E,1)/r! |
Ω |
0.32213930799117 |
Real period |
R |
5.0282589575561 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999837562 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122400cf1 122400cj1 24480ba1 |
Quadratic twists by: -4 -3 5 |