Atkin-Lehner |
2- 5+ 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
4970i |
Isogeny class |
Conductor |
4970 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5040 |
Modular degree for the optimal curve |
Δ |
-29235776500 = -1 · 22 · 53 · 77 · 71 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ -3 6 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1768,30207] |
[a1,a2,a3,a4,a6] |
j |
-610857885812049/29235776500 |
j-invariant |
L |
2.332899574069 |
L(r)(E,1)/r! |
Ω |
1.1664497870345 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39760r1 44730r1 24850f1 34790y1 |
Quadratic twists by: -4 -3 5 -7 |