Atkin-Lehner |
2+ 3+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
5208b |
Isogeny class |
Conductor |
5208 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
7811500032 = 211 · 34 · 72 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 2 -2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3528,-79380] |
[a1,a2,a3,a4,a6] |
j |
2371933903250/3814209 |
j-invariant |
L |
1.2390222158589 |
L(r)(E,1)/r! |
Ω |
0.61951110792946 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10416i2 41664bo2 15624u2 36456k2 |
Quadratic twists by: -4 8 -3 -7 |