Atkin-Lehner |
2- 3+ 5- 19- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
88350ck |
Isogeny class |
Conductor |
88350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1111040 |
Modular degree for the optimal curve |
Δ |
69026350289062500 = 22 · 37 · 59 · 194 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 -4 2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-206638,-33958969] |
[a1,a2,a3,a4,a6] |
j |
499602236345549/35341491348 |
j-invariant |
L |
3.5987266723468 |
L(r)(E,1)/r! |
Ω |
0.22492041595217 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
88350bp1 |
Quadratic twists by: 5 |