Atkin-Lehner |
2+ 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
26026f |
Isogeny class |
Conductor |
26026 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
471744 |
Modular degree for the optimal curve |
Δ |
-14946066252301184 = -1 · 27 · 7 · 112 · 1310 |
Discriminant |
Eigenvalues |
2+ -3 3 7- 11+ 13+ -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,51767,3734797] |
[a1,a2,a3,a4,a6] |
j |
111287007/108416 |
j-invariant |
L |
0.51822871836884 |
L(r)(E,1)/r! |
Ω |
0.25911435918412 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26026m1 |
Quadratic twists by: 13 |