Atkin-Lehner |
2+ 3+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
19776d |
Isogeny class |
Conductor |
19776 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
99648258048 = 214 · 310 · 103 |
Discriminant |
Eigenvalues |
2+ 3+ 0 4 -4 -6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1873,-26639] |
[a1,a2,a3,a4,a6] |
j |
44376082000/6082047 |
j-invariant |
L |
0.73227629133283 |
L(r)(E,1)/r! |
Ω |
0.73227629133284 |
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 |
19776bb2 1236c2 59328o2 |
Quadratic twists by: -4 8 -3 |