Atkin-Lehner |
2- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
47600br |
Isogeny class |
Conductor |
47600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-653072000000000 = -1 · 213 · 59 · 74 · 17 |
Discriminant |
Eigenvalues |
2- -1 5- 7- 2 5 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-18208,-1545088] |
[a1,a2,a3,a4,a6] |
Generators |
[442:8750:1] |
Generators of the group modulo torsion |
j |
-83453453/81634 |
j-invariant |
L |
5.3850986673184 |
L(r)(E,1)/r! |
Ω |
0.19764750799944 |
Real period |
R |
1.7028733127638 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000026 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5950r1 47600bi1 |
Quadratic twists by: -4 5 |