Atkin-Lehner |
5- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
54665h |
Isogeny class |
Conductor |
54665 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
28031049002125 = 53 · 13 · 297 |
Discriminant |
Eigenvalues |
0 -1 5- -1 0 13- -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-54945,4969056] |
[a1,a2,a3,a4,a6] |
Generators |
[10:2102:1] |
Generators of the group modulo torsion |
j |
30840979456/47125 |
j-invariant |
L |
3.2574290916021 |
L(r)(E,1)/r! |
Ω |
0.66461604106337 |
Real period |
R |
0.81686991443713 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000062 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1885e1 |
Quadratic twists by: 29 |