Atkin-Lehner |
2- 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
18326y |
Isogeny class |
Conductor |
18326 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
-30184498036 = -1 · 22 · 79 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 2 -3 7- 11+ -1 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3137,66835] |
[a1,a2,a3,a4,a6] |
Generators |
[167:1974:1] |
Generators of the group modulo torsion |
j |
-84604519/748 |
j-invariant |
L |
8.7130599819143 |
L(r)(E,1)/r! |
Ω |
1.181442440014 |
Real period |
R |
1.8437334919616 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18326bb1 |
Quadratic twists by: -7 |