Atkin-Lehner |
2- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
38720cf |
Isogeny class |
Conductor |
38720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2743793676800000 = 212 · 55 · 118 |
Discriminant |
Eigenvalues |
2- 2 5+ 0 11- 4 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2018441,-1103078359] |
[a1,a2,a3,a4,a6] |
Generators |
[-271711785848762967667500:-17389629977976791748829:331298616279253882176] |
Generators of the group modulo torsion |
j |
125330290485184/378125 |
j-invariant |
L |
8.1551630405621 |
L(r)(E,1)/r! |
Ω |
0.12666178396378 |
Real period |
R |
32.192674006926 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38720ch2 19360m1 3520ba2 |
Quadratic twists by: -4 8 -11 |