Atkin-Lehner |
2+ 3- 5+ 19+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
114570h |
Isogeny class |
Conductor |
114570 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
505033811527500 = 22 · 38 · 54 · 193 · 672 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 4 0 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1317870,-581983304] |
[a1,a2,a3,a4,a6] |
j |
347227476938910378721/692776147500 |
j-invariant |
L |
1.1272524324231 |
L(r)(E,1)/r! |
Ω |
0.14090663650962 |
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 |
38190x2 |
Quadratic twists by: -3 |