Atkin-Lehner |
2- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
4544m |
Isogeny class |
Conductor |
4544 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
62208 |
Modular degree for the optimal curve |
Δ |
2498090418307072 = 245 · 71 |
Discriminant |
Eigenvalues |
2- 3 -2 3 -6 5 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-168076,-26412784] |
[a1,a2,a3,a4,a6] |
j |
2003092024307193/9529458688 |
j-invariant |
L |
3.7737007005954 |
L(r)(E,1)/r! |
Ω |
0.23585629378721 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4544j1 1136d1 40896by1 113600cg1 |
Quadratic twists by: -4 8 -3 5 |