Atkin-Lehner |
2+ 7+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
18326c |
Isogeny class |
Conductor |
18326 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
190080 |
Modular degree for the optimal curve |
Δ |
-102220372654360576 = -1 · 211 · 74 · 114 · 175 |
Discriminant |
Eigenvalues |
2+ 2 1 7+ 11+ -6 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-15362,-15406348] |
[a1,a2,a3,a4,a6] |
Generators |
[52445:877103:125] |
Generators of the group modulo torsion |
j |
-167000974969801/42574082738176 |
j-invariant |
L |
5.3231546376675 |
L(r)(E,1)/r! |
Ω |
0.15007901494805 |
Real period |
R |
5.9115022837695 |
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 |
18326m1 |
Quadratic twists by: -7 |