Atkin-Lehner |
2- 5+ 13+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
92560i |
Isogeny class |
Conductor |
92560 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
79872 |
Modular degree for the optimal curve |
Δ |
6066012160 = 220 · 5 · 13 · 89 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 6 13+ -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1843,-30222] |
[a1,a2,a3,a4,a6] |
Generators |
[5252:38991:64] |
Generators of the group modulo torsion |
j |
169020650889/1480960 |
j-invariant |
L |
5.4266640069953 |
L(r)(E,1)/r! |
Ω |
0.72903405424872 |
Real period |
R |
7.443635838534 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999876127 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11570a1 |
Quadratic twists by: -4 |