Atkin-Lehner |
3+ 7- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
64239d |
Isogeny class |
Conductor |
64239 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
217728 |
Modular degree for the optimal curve |
Δ |
-34577192984859 = -1 · 34 · 76 · 193 · 232 |
Discriminant |
Eigenvalues |
-2 3+ 3 7- 1 0 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,866,-283032] |
[a1,a2,a3,a4,a6] |
j |
609800192/293901291 |
j-invariant |
L |
1.2236977051155 |
L(r)(E,1)/r! |
Ω |
0.30592442820601 |
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 |
1311d1 |
Quadratic twists by: -7 |