Atkin-Lehner |
2+ 3- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
26208n |
Isogeny class |
Conductor |
26208 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-63682853454065664 = -1 · 212 · 320 · 73 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 3 7+ 0 13- 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-33816,-12375088] |
[a1,a2,a3,a4,a6] |
Generators |
[15140552:349943724:24389] |
Generators of the group modulo torsion |
j |
-1432197595648/21327258771 |
j-invariant |
L |
6.7407983542828 |
L(r)(E,1)/r! |
Ω |
0.14967344569892 |
Real period |
R |
11.259175471651 |
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 |
26208y1 52416ew1 8736q1 |
Quadratic twists by: -4 8 -3 |