Atkin-Lehner |
2+ 7+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
44954f |
Isogeny class |
Conductor |
44954 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4018560 |
Modular degree for the optimal curve |
Δ |
-8.1150745684129E+22 |
Discriminant |
Eigenvalues |
2+ 1 -2 7+ 1 13- 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,6789233,-11894279486] |
[a1,a2,a3,a4,a6] |
j |
3263591353348691/7652482482176 |
j-invariant |
L |
0.22414685179224 |
L(r)(E,1)/r! |
Ω |
0.056036712902278 |
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 |
44954z1 |
Quadratic twists by: 13 |