Atkin-Lehner |
2+ 3- 5- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
59760n |
Isogeny class |
Conductor |
59760 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
409600 |
Modular degree for the optimal curve |
Δ |
5881280400000000 = 210 · 311 · 58 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 0 4 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-45507,589394] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:1620:1] |
Generators of the group modulo torsion |
j |
13961460287236/7878515625 |
j-invariant |
L |
6.6236762672927 |
L(r)(E,1)/r! |
Ω |
0.36721465126462 |
Real period |
R |
0.56367544878765 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999955 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29880p1 19920c1 |
Quadratic twists by: -4 -3 |