Atkin-Lehner |
2- 5+ 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
26350n |
Isogeny class |
Conductor |
26350 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
12672 |
Modular degree for the optimal curve |
Δ |
-517830200 = -1 · 23 · 52 · 174 · 31 |
Discriminant |
Eigenvalues |
2- 0 5+ -3 -3 -1 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1005,12557] |
[a1,a2,a3,a4,a6] |
Generators |
[25:38:1] |
Generators of the group modulo torsion |
j |
-4486180055625/20713208 |
j-invariant |
L |
6.4466319609583 |
L(r)(E,1)/r! |
Ω |
1.6581139517682 |
Real period |
R |
0.32399421614357 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26350e1 |
Quadratic twists by: 5 |