Atkin-Lehner |
2- 5- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
69290v |
Isogeny class |
Conductor |
69290 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
-4019826870312500 = -1 · 22 · 58 · 137 · 41 |
Discriminant |
Eigenvalues |
2- -1 5- 2 2 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-108755,-14182875] |
[a1,a2,a3,a4,a6] |
Generators |
[603:11528:1] |
Generators of the group modulo torsion |
j |
-29472131485369/832812500 |
j-invariant |
L |
9.9031965783969 |
L(r)(E,1)/r! |
Ω |
0.13123018155692 |
Real period |
R |
2.3582600390584 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997035 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5330a1 |
Quadratic twists by: 13 |