Atkin-Lehner |
2+ 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
99960bg |
Isogeny class |
Conductor |
99960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
51180364462080 = 211 · 3 · 5 · 78 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 2 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-29416,-1920976] |
[a1,a2,a3,a4,a6] |
Generators |
[1355057:42599838:1331] |
Generators of the group modulo torsion |
j |
11683450802/212415 |
j-invariant |
L |
8.623240920684 |
L(r)(E,1)/r! |
Ω |
0.36494861432321 |
Real period |
R |
11.814322084179 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999688117 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14280i2 |
Quadratic twists by: -7 |