Atkin-Lehner |
2- 5+ 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
32450n |
Isogeny class |
Conductor |
32450 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-12980000000 = -1 · 28 · 57 · 11 · 59 |
Discriminant |
Eigenvalues |
2- -1 5+ -2 11+ -4 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-563,7281] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:-98:1] |
Generators of the group modulo torsion |
j |
-1263214441/830720 |
j-invariant |
L |
5.567033956418 |
L(r)(E,1)/r! |
Ω |
1.1646625945884 |
Real period |
R |
0.14937357132136 |
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 |
6490e1 |
Quadratic twists by: 5 |