Atkin-Lehner |
2- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
38720bz |
Isogeny class |
Conductor |
38720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1612800 |
Modular degree for the optimal curve |
Δ |
-3.5351257235385E+21 |
Discriminant |
Eigenvalues |
2- -1 5+ 1 11- -2 5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1452161,-2938364735] |
[a1,a2,a3,a4,a6] |
Generators |
[7265:608200:1] |
Generators of the group modulo torsion |
j |
-5833944216008/60897409375 |
j-invariant |
L |
3.5621605400684 |
L(r)(E,1)/r! |
Ω |
0.059695365826162 |
Real period |
R |
7.4590390953537 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999946 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38720bw1 19360w1 3520r1 |
Quadratic twists by: -4 8 -11 |