Atkin-Lehner |
2- 3+ 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
26550bm |
Isogeny class |
Conductor |
26550 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
12096 |
Modular degree for the optimal curve |
Δ |
-1858075200 = -1 · 26 · 39 · 52 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -2 4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-245,-2483] |
[a1,a2,a3,a4,a6] |
Generators |
[25:68:1] |
Generators of the group modulo torsion |
j |
-3292515/3776 |
j-invariant |
L |
9.2269840860715 |
L(r)(E,1)/r! |
Ω |
0.5778584991058 |
Real period |
R |
1.3306291102334 |
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 |
26550b1 26550f1 |
Quadratic twists by: -3 5 |