Atkin-Lehner |
2+ 5- 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
116200p |
Isogeny class |
Conductor |
116200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
224000 |
Modular degree for the optimal curve |
Δ |
-1162000000000 = -1 · 210 · 59 · 7 · 83 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- 6 6 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9875,-381250] |
[a1,a2,a3,a4,a6] |
j |
-53248212/581 |
j-invariant |
L |
3.8288890213347 |
L(r)(E,1)/r! |
Ω |
0.23930562498392 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116200w1 |
Quadratic twists by: 5 |