Atkin-Lehner |
2+ 7+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
18326b |
Isogeny class |
Conductor |
18326 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
3492720 |
Modular degree for the optimal curve |
Δ |
-3.5790086488127E+21 |
Discriminant |
Eigenvalues |
2+ -1 -2 7+ 11+ -6 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-353765276,2560921084240] |
[a1,a2,a3,a4,a6] |
Generators |
[10947:10525:1] |
Generators of the group modulo torsion |
j |
-849346694202331430775817/620838195249536 |
j-invariant |
L |
1.5449367702003 |
L(r)(E,1)/r! |
Ω |
0.1165514614259 |
Real period |
R |
4.4184681779173 |
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 |
18326l1 |
Quadratic twists by: -7 |