Atkin-Lehner |
2+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
224b |
Isogeny class |
Conductor |
224 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8 |
Modular degree for the optimal curve |
Δ |
-448 = -1 · 26 · 7 |
Discriminant |
Eigenvalues |
2+ 2 0 7- 4 -4 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2,0] |
[a1,a2,a3,a4,a6] |
j |
8000/7 |
j-invariant |
L |
1.717518751596 |
L(r)(E,1)/r! |
Ω |
3.435037503192 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
224a1 448g1 2016m1 5600p1 |
Quadratic twists by: -4 8 -3 5 |