Atkin-Lehner |
2- 5- 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
26350s |
Isogeny class |
Conductor |
26350 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
19456 |
Modular degree for the optimal curve |
Δ |
4317184000 = 216 · 53 · 17 · 31 |
Discriminant |
Eigenvalues |
2- -1 5- -4 0 -3 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-723,6481] |
[a1,a2,a3,a4,a6] |
Generators |
[35:-178:1] [-29:78:1] |
Generators of the group modulo torsion |
j |
334399895621/34537472 |
j-invariant |
L |
8.8873308758892 |
L(r)(E,1)/r! |
Ω |
1.3416822279098 |
Real period |
R |
0.20700064746648 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26350j1 |
Quadratic twists by: 5 |