Atkin-Lehner |
2- 3+ 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
31152p |
Isogeny class |
Conductor |
31152 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1637879451648 = -1 · 212 · 3 · 11 · 594 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 11+ 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1656,-56400] |
[a1,a2,a3,a4,a6] |
Generators |
[250:3990:1] |
Generators of the group modulo torsion |
j |
122541299063/399872913 |
j-invariant |
L |
4.2371919211203 |
L(r)(E,1)/r! |
Ω |
0.4303657830544 |
Real period |
R |
4.9227797468563 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1947e4 124608dg3 93456br3 |
Quadratic twists by: -4 8 -3 |