Atkin-Lehner |
2+ 3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
99960i |
Isogeny class |
Conductor |
99960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
9673088883333120 = 211 · 34 · 5 · 79 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 -4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5925096,5553228780] |
[a1,a2,a3,a4,a6] |
Generators |
[1661:17072:1] |
Generators of the group modulo torsion |
j |
278354115557534/117045 |
j-invariant |
L |
4.2342882667919 |
L(r)(E,1)/r! |
Ω |
0.33249909110171 |
Real period |
R |
6.367368167491 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000023594 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99960bo2 |
Quadratic twists by: -7 |