Atkin-Lehner |
2- 5+ 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
4970g |
Isogeny class |
Conductor |
4970 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
1272320000 = 212 · 54 · 7 · 71 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 0 -2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6493,202981] |
[a1,a2,a3,a4,a6] |
j |
30268940040892449/1272320000 |
j-invariant |
L |
2.1565787145726 |
L(r)(E,1)/r! |
Ω |
1.4377191430484 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
39760o1 44730p1 24850c1 34790w1 |
Quadratic twists by: -4 -3 5 -7 |