Atkin-Lehner |
2- 3- 31+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
26226t |
Isogeny class |
Conductor |
26226 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
35712 |
Modular degree for the optimal curve |
Δ |
24497496792 = 23 · 37 · 313 · 47 |
Discriminant |
Eigenvalues |
2- 3- -2 0 0 2 -5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10481,-410295] |
[a1,a2,a3,a4,a6] |
j |
174648757219273/33604248 |
j-invariant |
L |
2.8311206432505 |
L(r)(E,1)/r! |
Ω |
0.47185344054176 |
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 |
8742a1 |
Quadratic twists by: -3 |