Atkin-Lehner |
3- 5+ 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
109005j |
Isogeny class |
Conductor |
109005 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
3151872 |
Modular degree for the optimal curve |
Δ |
-4.3086742451589E+19 |
Discriminant |
Eigenvalues |
0 3- 5+ 2 5 13+ 5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,306679,309075836] |
[a1,a2,a3,a4,a6] |
j |
660867352100864/8926548046875 |
j-invariant |
L |
3.6067243875968 |
L(r)(E,1)/r! |
Ω |
0.15028015671791 |
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 |
645e1 |
Quadratic twists by: 13 |