Atkin-Lehner |
2- 5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
70720z |
Isogeny class |
Conductor |
70720 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
845222809600 = 212 · 52 · 134 · 172 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 4 13+ 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-38308,2885568] |
[a1,a2,a3,a4,a6] |
Generators |
[274:3600:1] |
Generators of the group modulo torsion |
j |
1517861692281024/206353225 |
j-invariant |
L |
6.1514084854841 |
L(r)(E,1)/r! |
Ω |
0.85873041092297 |
Real period |
R |
3.581687807469 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000118 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
70720ba2 35360l1 |
Quadratic twists by: -4 8 |