Atkin-Lehner |
2+ 5+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
52640f |
Isogeny class |
Conductor |
52640 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
13160000 = 26 · 54 · 7 · 47 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- -2 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-126,-560] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:4:1] [24:104:1] |
Generators of the group modulo torsion |
j |
3484156096/205625 |
j-invariant |
L |
6.7732064507204 |
L(r)(E,1)/r! |
Ω |
1.4292849624535 |
Real period |
R |
4.7388775707082 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52640c1 105280bi1 |
Quadratic twists by: -4 8 |