Atkin-Lehner |
5+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
54665a |
Isogeny class |
Conductor |
54665 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
336000 |
Modular degree for the optimal curve |
Δ |
1121241960085 = 5 · 13 · 297 |
Discriminant |
Eigenvalues |
0 1 5+ 1 0 13+ -5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1859731,-976785345] |
[a1,a2,a3,a4,a6] |
Generators |
[-155035960988559:-82481921110:196832673513] |
Generators of the group modulo torsion |
j |
1195876549033984/1885 |
j-invariant |
L |
4.2221737367262 |
L(r)(E,1)/r! |
Ω |
0.1292816846384 |
Real period |
R |
16.329357667854 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1885a1 |
Quadratic twists by: 29 |