Atkin-Lehner |
2- 3- 7+ 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
24738l |
Isogeny class |
Conductor |
24738 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
890880 |
Modular degree for the optimal curve |
Δ |
9126433287717322752 = 216 · 33 · 710 · 19 · 312 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 6 4 8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1444468,-652326256] |
[a1,a2,a3,a4,a6] |
j |
333309357445639952994625/9126433287717322752 |
j-invariant |
L |
6.6212502180829 |
L(r)(E,1)/r! |
Ω |
0.13794271287673 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74214d1 |
Quadratic twists by: -3 |