Atkin-Lehner |
2- 3+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
26208bb |
Isogeny class |
Conductor |
26208 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-1683506365632 = -1 · 26 · 33 · 78 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ -2 13- -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-31209,-2123028] |
[a1,a2,a3,a4,a6] |
Generators |
[8631:801678:1] |
Generators of the group modulo torsion |
j |
-1945447581589056/974251369 |
j-invariant |
L |
5.8755150406229 |
L(r)(E,1)/r! |
Ω |
0.17959181954452 |
Real period |
R |
8.1789847882886 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26208e1 52416j2 26208b1 |
Quadratic twists by: -4 8 -3 |