Atkin-Lehner |
2- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
26450r |
Isogeny class |
Conductor |
26450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
76032 |
Modular degree for the optimal curve |
Δ |
180115266146300 = 22 · 52 · 239 |
Discriminant |
Eigenvalues |
2- 2 5+ -1 -3 1 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-20113,879571] |
[a1,a2,a3,a4,a6] |
Generators |
[17017:19886:343] |
Generators of the group modulo torsion |
j |
243135625/48668 |
j-invariant |
L |
11.072391476582 |
L(r)(E,1)/r! |
Ω |
0.53982292808983 |
Real period |
R |
5.1277886230963 |
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 |
26450k1 1150f1 |
Quadratic twists by: 5 -23 |