Atkin-Lehner |
2- 3+ 5- 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
59160s |
Isogeny class |
Conductor |
59160 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
27902695680 = 28 · 32 · 5 · 174 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 0 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-820,4420] |
[a1,a2,a3,a4,a6] |
Generators |
[1:60:1] |
Generators of the group modulo torsion |
j |
238481570896/108994905 |
j-invariant |
L |
6.0302048430229 |
L(r)(E,1)/r! |
Ω |
1.0603647299879 |
Real period |
R |
2.843457855853 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998604 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
118320x1 |
Quadratic twists by: -4 |