Atkin-Lehner |
2+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
506c |
Isogeny class |
Conductor |
506 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
88 |
Modular degree for the optimal curve |
Δ |
61226 = 2 · 113 · 23 |
Discriminant |
Eigenvalues |
2+ -2 3 5 11- -1 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-12,8] |
[a1,a2,a3,a4,a6] |
j |
169112377/61226 |
j-invariant |
L |
1.0698850008788 |
L(r)(E,1)/r! |
Ω |
3.2096550026365 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
4048g1 16192c1 4554be1 12650v1 |
Quadratic twists by: -4 8 -3 5 |