Atkin-Lehner |
2+ 3- 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
111090bl |
Isogeny class |
Conductor |
111090 |
Conductor |
∏ cp |
162 |
Product of Tamagawa factors cp |
deg |
476928 |
Modular degree for the optimal curve |
Δ |
-17493350631750 = -1 · 2 · 36 · 53 · 73 · 234 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 6 -4 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,6072,-85052] |
[a1,a2,a3,a4,a6] |
Generators |
[14:45:1] |
Generators of the group modulo torsion |
j |
88493315879/62511750 |
j-invariant |
L |
7.8438847583941 |
L(r)(E,1)/r! |
Ω |
0.39004311799621 |
Real period |
R |
1.1172389762399 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000037332 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
111090x1 |
Quadratic twists by: -23 |