Atkin-Lehner |
2- 3- 5- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
26910bj |
Isogeny class |
Conductor |
26910 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
-4464046080 = -1 · 212 · 36 · 5 · 13 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,88,-3221] |
[a1,a2,a3,a4,a6] |
Generators |
[29:137:1] |
Generators of the group modulo torsion |
j |
104487111/6123520 |
j-invariant |
L |
7.1710155891599 |
L(r)(E,1)/r! |
Ω |
0.65855864653263 |
Real period |
R |
1.8148258642608 |
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 |
2990a1 |
Quadratic twists by: -3 |