Atkin-Lehner |
2- 3+ 5- 31- 43- |
Signs for the Atkin-Lehner involutions |
Class |
39990x |
Isogeny class |
Conductor |
39990 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
958042399107600 = 24 · 36 · 52 · 312 · 434 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 4 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-76805,-8088325] |
[a1,a2,a3,a4,a6] |
Generators |
[2469:120670:1] |
Generators of the group modulo torsion |
j |
50106324423893472721/958042399107600 |
j-invariant |
L |
6.6281413682292 |
L(r)(E,1)/r! |
Ω |
0.28711542265796 |
Real period |
R |
2.8856606286031 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999978 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
119970s2 |
Quadratic twists by: -3 |