Atkin-Lehner |
2- 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
26010z |
Isogeny class |
Conductor |
26010 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-150676360725600000 = -1 · 28 · 33 · 55 · 178 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 2 -6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-22163,18724531] |
[a1,a2,a3,a4,a6] |
j |
-1847284083/231200000 |
j-invariant |
L |
4.2651247398802 |
L(r)(E,1)/r! |
Ω |
0.2665702962425 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26010d1 1530j1 |
Quadratic twists by: -3 17 |