Atkin-Lehner |
2- 3+ 5- 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
104370cn |
Isogeny class |
Conductor |
104370 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-4420449406800 = -1 · 24 · 33 · 52 · 78 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -4 4 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-50,101135] |
[a1,a2,a3,a4,a6] |
j |
-2401/766800 |
j-invariant |
L |
4.9416830475335 |
L(r)(E,1)/r! |
Ω |
0.61771040243963 |
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 |
104370do1 |
Quadratic twists by: -7 |