Atkin-Lehner |
2+ 3- 5+ 19+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
105450w |
Isogeny class |
Conductor |
105450 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
3163500000 = 25 · 32 · 56 · 19 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 5 2 8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1926,32248] |
[a1,a2,a3,a4,a6] |
j |
50529889873/202464 |
j-invariant |
L |
2.850999313598 |
L(r)(E,1)/r! |
Ω |
1.4254995753263 |
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 |
4218f1 |
Quadratic twists by: 5 |