Atkin-Lehner |
2- 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
5070x |
Isogeny class |
Conductor |
5070 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
6720 |
Modular degree for the optimal curve |
Δ |
-2190240 = -1 · 25 · 34 · 5 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5- 5 3 13+ -8 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4950,-134460] |
[a1,a2,a3,a4,a6] |
j |
-79370312059129/12960 |
j-invariant |
L |
5.6917759168293 |
L(r)(E,1)/r! |
Ω |
0.28458879584146 |
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 |
40560bx1 15210p1 25350j1 5070j1 |
Quadratic twists by: -4 -3 5 13 |