Atkin-Lehner |
2+ 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
31200n |
Isogeny class |
Conductor |
31200 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
49353408000000 = 212 · 33 · 56 · 134 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 13+ 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9233,45663] |
[a1,a2,a3,a4,a6] |
j |
1360251712/771147 |
j-invariant |
L |
3.2753082062199 |
L(r)(E,1)/r! |
Ω |
0.54588470103583 |
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 |
31200bd3 62400ba1 93600di3 1248h3 |
Quadratic twists by: -4 8 -3 5 |