Atkin-Lehner |
2- 5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
105350cp |
Isogeny class |
Conductor |
105350 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
311040 |
Modular degree for the optimal curve |
Δ |
-80443703769800 = -1 · 23 · 52 · 76 · 434 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 1 4 5 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-18033,-1028623] |
[a1,a2,a3,a4,a6] |
j |
-220496102185/27350408 |
j-invariant |
L |
4.9097453385497 |
L(r)(E,1)/r! |
Ω |
0.20457271340718 |
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 |
105350bi1 2150m1 |
Quadratic twists by: 5 -7 |