Atkin-Lehner |
2- 3- 5+ 13- 67- |
Signs for the Atkin-Lehner involutions |
Class |
26130y |
Isogeny class |
Conductor |
26130 |
Conductor |
∏ cp |
504 |
Product of Tamagawa factors cp |
deg |
2177280 |
Modular degree for the optimal curve |
Δ |
144026454856826880 = 228 · 36 · 5 · 133 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 0 13- -8 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-99162726,380068044516] |
[a1,a2,a3,a4,a6] |
Generators |
[5748:-2718:1] |
Generators of the group modulo torsion |
j |
107837319387811711974735390049/144026454856826880 |
j-invariant |
L |
9.6465476691604 |
L(r)(E,1)/r! |
Ω |
0.20818875038753 |
Real period |
R |
0.091935685758333 |
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 |
78390ba1 |
Quadratic twists by: -3 |