Atkin-Lehner |
2- 5- 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
4970j |
Isogeny class |
Conductor |
4970 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
720 |
Modular degree for the optimal curve |
Δ |
1988000 = 25 · 53 · 7 · 71 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ -3 3 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-37,61] |
[a1,a2,a3,a4,a6] |
Generators |
[1:4:1] |
Generators of the group modulo torsion |
j |
5461074081/1988000 |
j-invariant |
L |
5.5306238136598 |
L(r)(E,1)/r! |
Ω |
2.40058760833 |
Real period |
R |
0.15359083457924 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39760bh1 44730j1 24850e1 34790m1 |
Quadratic twists by: -4 -3 5 -7 |