Atkin-Lehner |
2+ 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
83520bu |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-1643924160 = -1 · 26 · 311 · 5 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 5 0 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,222,-1478] |
[a1,a2,a3,a4,a6] |
Generators |
[593:14445:1] |
Generators of the group modulo torsion |
j |
25934336/35235 |
j-invariant |
L |
8.4551792604203 |
L(r)(E,1)/r! |
Ω |
0.79779484441092 |
Real period |
R |
5.2990936924206 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000555 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83520bv1 41760q1 27840cd1 |
Quadratic twists by: -4 8 -3 |