Atkin-Lehner |
2- 5+ 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
78320bg |
Isogeny class |
Conductor |
78320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
892221440000 = 214 · 54 · 11 · 892 |
Discriminant |
Eigenvalues |
2- 2 5+ 4 11- -4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4496,-105280] |
[a1,a2,a3,a4,a6] |
j |
2454365649169/217827500 |
j-invariant |
L |
4.6906139708928 |
L(r)(E,1)/r! |
Ω |
0.58632674685981 |
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 |
9790j2 |
Quadratic twists by: -4 |