Atkin-Lehner |
2- 5- 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
26350u |
Isogeny class |
Conductor |
26350 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
75520 |
Modular degree for the optimal curve |
Δ |
16468750000 = 24 · 59 · 17 · 31 |
Discriminant |
Eigenvalues |
2- 3 5- 4 -4 3 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5055,139447] |
[a1,a2,a3,a4,a6] |
j |
7312680621/8432 |
j-invariant |
L |
9.8572428167888 |
L(r)(E,1)/r! |
Ω |
1.2321553520987 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26350f1 |
Quadratic twists by: 5 |