Atkin-Lehner |
2+ 5+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
40400g |
Isogeny class |
Conductor |
40400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
6312500000000 = 28 · 512 · 101 |
Discriminant |
Eigenvalues |
2+ 2 5+ 2 4 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14508,666512] |
[a1,a2,a3,a4,a6] |
j |
84433792336/1578125 |
j-invariant |
L |
6.029259921984 |
L(r)(E,1)/r! |
Ω |
0.7536574902533 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20200i2 8080d2 |
Quadratic twists by: -4 5 |