Atkin-Lehner |
2+ 3+ 5- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
59160d |
Isogeny class |
Conductor |
59160 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
204800 |
Modular degree for the optimal curve |
Δ |
1324539274320 = 24 · 34 · 5 · 172 · 294 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 -4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-39295,3010780] |
[a1,a2,a3,a4,a6] |
Generators |
[-53:2223:1] |
Generators of the group modulo torsion |
j |
419398295322228736/82783704645 |
j-invariant |
L |
6.4755868006784 |
L(r)(E,1)/r! |
Ω |
0.8331617328579 |
Real period |
R |
3.8861523189287 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000466 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
118320v1 |
Quadratic twists by: -4 |