Atkin-Lehner |
2- 3- 5- 19+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
105450cl |
Isogeny class |
Conductor |
105450 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-10817246592000 = -1 · 210 · 32 · 53 · 193 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 0 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,4457,-108823] |
[a1,a2,a3,a4,a6] |
j |
78331331937403/86537972736 |
j-invariant |
L |
7.7753837584181 |
L(r)(E,1)/r! |
Ω |
0.38876920492507 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
105450p1 |
Quadratic twists by: 5 |