Atkin-Lehner |
3- 5- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
18135n |
Isogeny class |
Conductor |
18135 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
11515392 |
Modular degree for the optimal curve |
Δ |
-3.2997320744377E+26 |
Discriminant |
Eigenvalues |
-2 3- 5- 2 1 13+ 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-725521287,7572431010222] |
[a1,a2,a3,a4,a6] |
j |
-57935753764344597320800620544/452638144641656215051875 |
j-invariant |
L |
1.3067049355153 |
L(r)(E,1)/r! |
Ω |
0.054446038979806 |
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 |
6045e1 90675bg1 |
Quadratic twists by: -3 5 |