Atkin-Lehner |
2+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
26950o |
Isogeny class |
Conductor |
26950 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-7926601375000000 = -1 · 26 · 59 · 78 · 11 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- 11+ 2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,12224,-4250802] |
[a1,a2,a3,a4,a6] |
j |
109902239/4312000 |
j-invariant |
L |
0.79870099568275 |
L(r)(E,1)/r! |
Ω |
0.1996752489206 |
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 |
5390x1 3850c1 |
Quadratic twists by: 5 -7 |