Atkin-Lehner |
2- 3- 11+ 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
26598j |
Isogeny class |
Conductor |
26598 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-29135769227136 = -1 · 27 · 34 · 113 · 133 · 312 |
Discriminant |
Eigenvalues |
2- 3- 1 1 11+ 13- -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,6715,150849] |
[a1,a2,a3,a4,a6] |
Generators |
[166:-2501:1] |
Generators of the group modulo torsion |
j |
33485571921587759/29135769227136 |
j-invariant |
L |
10.974332916595 |
L(r)(E,1)/r! |
Ω |
0.43110620076818 |
Real period |
R |
0.15152510008306 |
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 |
79794n1 |
Quadratic twists by: -3 |