Atkin-Lehner |
2- 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
18480da |
Isogeny class |
Conductor |
18480 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
2.7516316674253E+21 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11- -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-89211680,-324345116172] |
[a1,a2,a3,a4,a6] |
Generators |
[20443:2528988:1] |
Generators of the group modulo torsion |
j |
19170300594578891358373921/671785075055001600 |
j-invariant |
L |
6.4867699798272 |
L(r)(E,1)/r! |
Ω |
0.049124148772212 |
Real period |
R |
5.5020206812355 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2310o2 73920dz2 55440cs2 92400ek2 |
Quadratic twists by: -4 8 -3 5 |