Atkin-Lehner |
2- 5+ 11+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
39160j |
Isogeny class |
Conductor |
39160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-105428510000 = -1 · 24 · 54 · 113 · 892 |
Discriminant |
Eigenvalues |
2- 0 5+ 2 11+ 0 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-298,-15747] |
[a1,a2,a3,a4,a6] |
Generators |
[318:5661:1] |
Generators of the group modulo torsion |
j |
-182916347904/6589281875 |
j-invariant |
L |
5.0505375715992 |
L(r)(E,1)/r! |
Ω |
0.46197092756785 |
Real period |
R |
5.46629373215 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78320k1 |
Quadratic twists by: -4 |