Atkin-Lehner |
2- 5- 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
99710bb |
Isogeny class |
Conductor |
99710 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
823680 |
Modular degree for the optimal curve |
Δ |
-1239156507013750 = -1 · 2 · 54 · 136 · 593 |
Discriminant |
Eigenvalues |
2- -2 5- -5 3 13+ 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,26445,360775] |
[a1,a2,a3,a4,a6] |
Generators |
[-90:2035:8] |
Generators of the group modulo torsion |
j |
423733973831/256723750 |
j-invariant |
L |
6.301830918343 |
L(r)(E,1)/r! |
Ω |
0.29803306248897 |
Real period |
R |
5.2861844105123 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005328 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
590a1 |
Quadratic twists by: 13 |