Atkin-Lehner |
2+ 5+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
32960b |
Isogeny class |
Conductor |
32960 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-55947622400000 = -1 · 214 · 55 · 1033 |
Discriminant |
Eigenvalues |
2+ -3 5+ 2 -4 -4 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,9092,-134768] |
[a1,a2,a3,a4,a6] |
Generators |
[44:592:1] |
Generators of the group modulo torsion |
j |
5073200820144/3414771875 |
j-invariant |
L |
2.9078847425562 |
L(r)(E,1)/r! |
Ω |
0.35660864655089 |
Real period |
R |
4.0771371792033 |
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 |
32960r1 4120b1 |
Quadratic twists by: -4 8 |