Atkin-Lehner |
2- 5- 11- 101- |
Signs for the Atkin-Lehner involutions |
Class |
55550x |
Isogeny class |
Conductor |
55550 |
Conductor |
∏ cp |
35 |
Product of Tamagawa factors cp |
deg |
646800 |
Modular degree for the optimal curve |
Δ |
24602553387500000 = 25 · 58 · 117 · 101 |
Discriminant |
Eigenvalues |
2- 2 5- 4 11- -1 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-218263,38424781] |
[a1,a2,a3,a4,a6] |
Generators |
[109:3938:1] |
Generators of the group modulo torsion |
j |
2943771948243985/62982536672 |
j-invariant |
L |
15.69158706683 |
L(r)(E,1)/r! |
Ω |
0.37791199388499 |
Real period |
R |
1.1863372063002 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999866 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55550g1 |
Quadratic twists by: 5 |