Atkin-Lehner |
2+ 3+ 5- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
6630h |
Isogeny class |
Conductor |
6630 |
Conductor |
∏ cp |
25 |
Product of Tamagawa factors cp |
deg |
14400 |
Modular degree for the optimal curve |
Δ |
-4260587175000 = -1 · 23 · 33 · 55 · 135 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 5 13- 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,3823,-38259] |
[a1,a2,a3,a4,a6] |
Generators |
[157:2034:1] |
Generators of the group modulo torsion |
j |
6176736766011239/4260587175000 |
j-invariant |
L |
2.7143435290791 |
L(r)(E,1)/r! |
Ω |
0.44027834653821 |
Real period |
R |
0.24660250047919 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53040cx1 19890bb1 33150ca1 86190bq1 |
Quadratic twists by: -4 -3 5 13 |