Atkin-Lehner |
2- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
6880h |
Isogeny class |
Conductor |
6880 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
60032 |
Modular degree for the optimal curve |
Δ |
-27834225777356800 = -1 · 212 · 52 · 437 |
Discriminant |
Eigenvalues |
2- 2 5+ 2 -3 1 -5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-128381,19482581] |
[a1,a2,a3,a4,a6] |
Generators |
[5997:36980:27] |
Generators of the group modulo torsion |
j |
-57130682153065984/6795465277675 |
j-invariant |
L |
5.5313032664731 |
L(r)(E,1)/r! |
Ω |
0.36363579613684 |
Real period |
R |
0.54325384720057 |
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 |
6880b1 13760h1 61920z1 34400e1 |
Quadratic twists by: -4 8 -3 5 |