Atkin-Lehner |
2+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
26450f |
Isogeny class |
Conductor |
26450 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
266112 |
Modular degree for the optimal curve |
Δ |
-250595152899200 = -1 · 27 · 52 · 238 |
Discriminant |
Eigenvalues |
2+ 3 5+ -4 -3 -6 -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,4133,753701] |
[a1,a2,a3,a4,a6] |
j |
2109375/67712 |
j-invariant |
L |
0.8357116405284 |
L(r)(E,1)/r! |
Ω |
0.41785582026418 |
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 |
26450be1 1150b1 |
Quadratic twists by: 5 -23 |