Atkin-Lehner |
2- 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
11172k |
Isogeny class |
Conductor |
11172 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
110407468752 = 24 · 32 · 79 · 19 |
Discriminant |
Eigenvalues |
2- 3+ -4 7- 0 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-19665,1067886] |
[a1,a2,a3,a4,a6] |
j |
1302642688/171 |
j-invariant |
L |
1.0167511687325 |
L(r)(E,1)/r! |
Ω |
1.0167511687325 |
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 |
44688da1 33516y1 11172r1 |
Quadratic twists by: -4 -3 -7 |