Atkin-Lehner |
2+ 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
31200n |
Isogeny class |
Conductor |
31200 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-55269864000000 = -1 · 29 · 312 · 56 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 13+ 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2608,-362212] |
[a1,a2,a3,a4,a6] |
j |
-245314376/6908733 |
j-invariant |
L |
3.2753082062199 |
L(r)(E,1)/r! |
Ω |
0.27294235051792 |
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 |
31200bd2 62400ba3 93600di2 1248h4 |
Quadratic twists by: -4 8 -3 5 |