Atkin-Lehner |
2- 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
5070q |
Isogeny class |
Conductor |
5070 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
12407264266410 = 2 · 32 · 5 · 1310 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 0 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-81715,-9023305] |
[a1,a2,a3,a4,a6] |
Generators |
[-453334:333915:2744] |
Generators of the group modulo torsion |
j |
12501706118329/2570490 |
j-invariant |
L |
5.093890722213 |
L(r)(E,1)/r! |
Ω |
0.28237707753676 |
Real period |
R |
9.0196604601339 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40560cq4 15210h3 25350x4 390a3 |
Quadratic twists by: -4 -3 5 13 |