Atkin-Lehner |
2+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
123200bk |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-15400000000000000 = -1 · 215 · 514 · 7 · 11 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 11+ 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,61300,1234000] |
[a1,a2,a3,a4,a6] |
j |
49754821752/30078125 |
j-invariant |
L |
1.9313142096171 |
L(r)(E,1)/r! |
Ω |
0.24141422371868 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123200o3 61600bp2 24640b3 |
Quadratic twists by: -4 8 5 |