Atkin-Lehner |
2- 3- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
38640ct |
Isogeny class |
Conductor |
38640 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
1934992281600 = 212 · 36 · 52 · 72 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5216,-130380] |
[a1,a2,a3,a4,a6] |
Generators |
[-44:126:1] |
Generators of the group modulo torsion |
j |
3832302404449/472410225 |
j-invariant |
L |
5.8066962220219 |
L(r)(E,1)/r! |
Ω |
0.5663113270804 |
Real period |
R |
0.85446172219402 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2415a2 115920ew2 |
Quadratic twists by: -4 -3 |