Atkin-Lehner |
2- 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
18326z |
Isogeny class |
Conductor |
18326 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
591360 |
Modular degree for the optimal curve |
Δ |
-2.4212062978304E+19 |
Discriminant |
Eigenvalues |
2- 0 3 7- 11+ -7 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-230236,-240472081] |
[a1,a2,a3,a4,a6] |
j |
-11472376678929153/205799139629776 |
j-invariant |
L |
3.6646592935043 |
L(r)(E,1)/r! |
Ω |
0.091616482337607 |
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 |
2618d1 |
Quadratic twists by: -7 |