Atkin-Lehner |
2- 3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
26010bd |
Isogeny class |
Conductor |
26010 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-208548596160 = -1 · 26 · 33 · 5 · 176 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 6 -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2222,46461] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:299:1] |
Generators of the group modulo torsion |
j |
-1860867/320 |
j-invariant |
L |
8.6569192979659 |
L(r)(E,1)/r! |
Ω |
0.96313182807352 |
Real period |
R |
0.74902512872007 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26010c3 90b1 |
Quadratic twists by: -3 17 |