Atkin-Lehner |
2+ 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
45864a |
Isogeny class |
Conductor |
45864 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-1.1770591658666E+19 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7- 1 13+ 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,416157,128721726] |
[a1,a2,a3,a4,a6] |
j |
1225217998314/1809323971 |
j-invariant |
L |
1.2273579627951 |
L(r)(E,1)/r! |
Ω |
0.15341974535051 |
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 |
91728b1 45864y1 6552a1 |
Quadratic twists by: -4 -3 -7 |