Atkin-Lehner |
2- 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
3900c |
Isogeny class |
Conductor |
3900 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
57921708000000 = 28 · 3 · 56 · 136 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 0 13+ 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-18708,-908088] |
[a1,a2,a3,a4,a6] |
j |
181037698000/14480427 |
j-invariant |
L |
1.2308656154348 |
L(r)(E,1)/r! |
Ω |
0.41028853847828 |
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 |
15600ce4 62400cz4 11700j4 156b4 |
Quadratic twists by: -4 8 -3 5 |