Atkin-Lehner |
2+ 5+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
83600j |
Isogeny class |
Conductor |
83600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-45980000000000 = -1 · 211 · 510 · 112 · 19 |
Discriminant |
Eigenvalues |
2+ 1 5+ 5 11+ -3 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,6592,255188] |
[a1,a2,a3,a4,a6] |
j |
989827342/1436875 |
j-invariant |
L |
3.4607596714318 |
L(r)(E,1)/r! |
Ω |
0.43259496921489 |
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 |
41800u1 16720f1 |
Quadratic twists by: -4 5 |