Atkin-Lehner |
2+ 3- 5+ 11+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
99990f |
Isogeny class |
Conductor |
99990 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
319488 |
Modular degree for the optimal curve |
Δ |
14779142737920 = 212 · 310 · 5 · 112 · 101 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11+ 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-13185,-549315] |
[a1,a2,a3,a4,a6] |
j |
347740371686161/20273172480 |
j-invariant |
L |
1.7886135415951 |
L(r)(E,1)/r! |
Ω |
0.44715338797205 |
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 |
33330i1 |
Quadratic twists by: -3 |