Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
26010bj |
Isogeny class |
Conductor |
26010 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-2991368926170 = -1 · 2 · 36 · 5 · 177 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -4 -3 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-26498,1668907] |
[a1,a2,a3,a4,a6] |
Generators |
[886:1865:8] |
Generators of the group modulo torsion |
j |
-116930169/170 |
j-invariant |
L |
6.3925770183887 |
L(r)(E,1)/r! |
Ω |
0.80048957253001 |
Real period |
R |
1.9964585541647 |
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 |
2890l1 1530n1 |
Quadratic twists by: -3 17 |