Atkin-Lehner |
2+ 3+ 29- 43- |
Signs for the Atkin-Lehner involutions |
Class |
59856d |
Isogeny class |
Conductor |
59856 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
38016 |
Modular degree for the optimal curve |
Δ |
56550991104 = 28 · 311 · 29 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 1 0 1 2 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1785,-26091] |
[a1,a2,a3,a4,a6] |
Generators |
[-27940:54693:1331] |
Generators of the group modulo torsion |
j |
2458338528256/220902309 |
j-invariant |
L |
6.0077514637967 |
L(r)(E,1)/r! |
Ω |
0.73868129248499 |
Real period |
R |
8.1330765040009 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999035 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29928c1 |
Quadratic twists by: -4 |