Atkin-Lehner |
2- 3- 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
112464bh |
Isogeny class |
Conductor |
112464 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
105802935422976 = 212 · 38 · 11 · 713 |
Discriminant |
Eigenvalues |
2- 3- 3 1 11- 5 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1013376,-392648272] |
[a1,a2,a3,a4,a6] |
j |
38543227604697088/35433189 |
j-invariant |
L |
5.417006411034 |
L(r)(E,1)/r! |
Ω |
0.15047242670035 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7029d2 37488p2 |
Quadratic twists by: -4 -3 |