Atkin-Lehner |
2+ 5+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
88400m |
Isogeny class |
Conductor |
88400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
136320 |
Modular degree for the optimal curve |
Δ |
-4420000000000 = -1 · 211 · 510 · 13 · 17 |
Discriminant |
Eigenvalues |
2+ 2 5+ -2 5 13- 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-208,-101088] |
[a1,a2,a3,a4,a6] |
Generators |
[10092:194516:27] |
Generators of the group modulo torsion |
j |
-50/221 |
j-invariant |
L |
9.8418594902165 |
L(r)(E,1)/r! |
Ω |
0.35229768905755 |
Real period |
R |
6.9840505669175 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999901157 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44200p1 88400o1 |
Quadratic twists by: -4 5 |