Atkin-Lehner |
2- 5- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
54910bj |
Isogeny class |
Conductor |
54910 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
28512 |
Modular degree for the optimal curve |
Δ |
1586899000 = 23 · 53 · 174 · 19 |
Discriminant |
Eigenvalues |
2- 1 5- -1 3 -4 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-295,337] |
[a1,a2,a3,a4,a6] |
Generators |
[84:713:1] |
Generators of the group modulo torsion |
j |
34000561/19000 |
j-invariant |
L |
11.609961929172 |
L(r)(E,1)/r! |
Ω |
1.2997501697468 |
Real period |
R |
2.9774855197576 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
54910v1 |
Quadratic twists by: 17 |