Atkin-Lehner |
2+ 5- 19+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
44840c |
Isogeny class |
Conductor |
44840 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
8748734642000 = 24 · 53 · 192 · 594 |
Discriminant |
Eigenvalues |
2+ 0 5- -4 4 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16202,780921] |
[a1,a2,a3,a4,a6] |
Generators |
[-88:1235:1] |
Generators of the group modulo torsion |
j |
29397446791428096/546795915125 |
j-invariant |
L |
5.0854590785163 |
L(r)(E,1)/r! |
Ω |
0.73346693507428 |
Real period |
R |
2.3111512531918 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
89680d1 |
Quadratic twists by: -4 |