Atkin-Lehner |
2- 11+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
66352g |
Isogeny class |
Conductor |
66352 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-2414219112448 = -1 · 212 · 11 · 133 · 293 |
Discriminant |
Eigenvalues |
2- -2 -2 5 11+ 13+ 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10824,-443468] |
[a1,a2,a3,a4,a6] |
j |
-34242639807817/589408963 |
j-invariant |
L |
0.93515918268605 |
L(r)(E,1)/r! |
Ω |
0.23378979742187 |
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 |
4147c1 |
Quadratic twists by: -4 |