Atkin-Lehner |
2+ 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
5070k |
Isogeny class |
Conductor |
5070 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
52420691525582250 = 2 · 32 · 53 · 1312 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 0 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-202128,-33214244] |
[a1,a2,a3,a4,a6] |
Generators |
[-298:909:1] |
Generators of the group modulo torsion |
j |
189208196468929/10860320250 |
j-invariant |
L |
3.4140355069207 |
L(r)(E,1)/r! |
Ω |
0.22596771246534 |
Real period |
R |
2.5180850468068 |
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 |
40560br4 15210bf4 25350bx4 390c4 |
Quadratic twists by: -4 -3 5 13 |