Atkin-Lehner |
5+ 29- 37- |
Signs for the Atkin-Lehner involutions |
Class |
26825b |
Isogeny class |
Conductor |
26825 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
486203125 = 56 · 292 · 37 |
Discriminant |
Eigenvalues |
0 1 5+ 1 -3 6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1133,14269] |
[a1,a2,a3,a4,a6] |
Generators |
[17:14:1] |
Generators of the group modulo torsion |
j |
10303307776/31117 |
j-invariant |
L |
5.1892949102937 |
L(r)(E,1)/r! |
Ω |
1.664505743535 |
Real period |
R |
0.77940477683076 |
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 |
1073a1 |
Quadratic twists by: 5 |