Atkin-Lehner |
2+ 5- 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
26650l |
Isogeny class |
Conductor |
26650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5632 |
Modular degree for the optimal curve |
Δ |
266500 = 22 · 53 · 13 · 41 |
Discriminant |
Eigenvalues |
2+ 0 5- -4 4 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-52,156] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:18:1] [-5:19:1] |
Generators of the group modulo torsion |
j |
125751501/2132 |
j-invariant |
L |
5.5956405269585 |
L(r)(E,1)/r! |
Ω |
3.1050626838461 |
Real period |
R |
1.8021022751233 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999979 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26650r1 |
Quadratic twists by: 5 |