Atkin-Lehner |
2- 3+ 5- 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
105450cd |
Isogeny class |
Conductor |
105450 |
Conductor |
∏ cp |
35 |
Product of Tamagawa factors cp |
deg |
514080 |
Modular degree for the optimal curve |
Δ |
21987759120000 = 27 · 3 · 54 · 195 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 -1 -2 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-44213,3552731] |
[a1,a2,a3,a4,a6] |
Generators |
[101:-412:1] |
Generators of the group modulo torsion |
j |
15293055387184225/35180414592 |
j-invariant |
L |
6.2156642513543 |
L(r)(E,1)/r! |
Ω |
0.68028434742146 |
Real period |
R |
0.26105320174941 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010539 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105450bf1 |
Quadratic twists by: 5 |