Atkin-Lehner |
2- 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
11172n |
Isogeny class |
Conductor |
11172 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
33120 |
Modular degree for the optimal curve |
Δ |
-945955584 = -1 · 28 · 34 · 74 · 19 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 3 2 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-140597,20244615] |
[a1,a2,a3,a4,a6] |
j |
-500060830302208/1539 |
j-invariant |
L |
4.1604828466425 |
L(r)(E,1)/r! |
Ω |
1.0401207116606 |
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 |
44688bn1 33516c1 11172f1 |
Quadratic twists by: -4 -3 -7 |