Atkin-Lehner |
2- 5+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
39760r |
Isogeny class |
Conductor |
39760 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-119749740544000 = -1 · 214 · 53 · 77 · 71 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 3 6 2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-28283,-1904982] |
[a1,a2,a3,a4,a6] |
j |
-610857885812049/29235776500 |
j-invariant |
L |
2.5698350647135 |
L(r)(E,1)/r! |
Ω |
0.18355964748075 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4970i1 |
Quadratic twists by: -4 |