Atkin-Lehner |
2- 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
11172j |
Isogeny class |
Conductor |
11172 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
13104 |
Modular degree for the optimal curve |
Δ |
-772852281264 = -1 · 24 · 32 · 710 · 19 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- 5 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3201,-80478] |
[a1,a2,a3,a4,a6] |
j |
-802816/171 |
j-invariant |
L |
1.8826231305034 |
L(r)(E,1)/r! |
Ω |
0.31377052175057 |
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 |
44688cu1 33516t1 11172l1 |
Quadratic twists by: -4 -3 -7 |