Atkin-Lehner |
2- 3- 5+ 31+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
119970bp |
Isogeny class |
Conductor |
119970 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
3760699590000 = 24 · 38 · 54 · 31 · 432 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 0 -2 8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-24413,-1459083] |
[a1,a2,a3,a4,a6] |
Generators |
[-87:68:1] |
Generators of the group modulo torsion |
j |
2207206464510601/5158710000 |
j-invariant |
L |
9.845175086967 |
L(r)(E,1)/r! |
Ω |
0.38199409484981 |
Real period |
R |
1.6108192603212 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999613598 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39990d2 |
Quadratic twists by: -3 |