Atkin-Lehner |
2+ 3- 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
43920o |
Isogeny class |
Conductor |
43920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
116704443600 = 24 · 314 · 52 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 0 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4818,127667] |
[a1,a2,a3,a4,a6] |
Generators |
[31:90:1] |
Generators of the group modulo torsion |
j |
1060416772096/10005525 |
j-invariant |
L |
3.4342563407009 |
L(r)(E,1)/r! |
Ω |
1.0552549282913 |
Real period |
R |
1.6272164425021 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000021 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21960u1 14640f1 |
Quadratic twists by: -4 -3 |