Atkin-Lehner |
2- 3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
12240bh |
Isogeny class |
Conductor |
12240 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-193405158000 = -1 · 24 · 39 · 53 · 173 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 3 -4 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-22437,1293759] |
[a1,a2,a3,a4,a6] |
Generators |
[78:135:1] |
Generators of the group modulo torsion |
j |
-3966493992192/614125 |
j-invariant |
L |
5.1484723954205 |
L(r)(E,1)/r! |
Ω |
0.97353151107579 |
Real period |
R |
0.88140827780899 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3060e2 48960dk2 12240bd1 61200dm2 |
Quadratic twists by: -4 8 -3 5 |