Atkin-Lehner |
5- 13+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
66755f |
Isogeny class |
Conductor |
66755 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
1212288 |
Modular degree for the optimal curve |
Δ |
-3146617527294921875 = -1 · 511 · 138 · 79 |
Discriminant |
Eigenvalues |
2 1 5- -3 1 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,203420,-77629119] |
[a1,a2,a3,a4,a6] |
j |
192860111384576/651904296875 |
j-invariant |
L |
2.8317429597212 |
L(r)(E,1)/r! |
Ω |
0.12871558957295 |
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 |
5135a1 |
Quadratic twists by: 13 |