Atkin-Lehner |
2+ 3- 5+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
38280i |
Isogeny class |
Conductor |
38280 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
465328076780160000 = 210 · 310 · 54 · 114 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11+ -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-253616,-36684816] |
[a1,a2,a3,a4,a6] |
j |
1761795164952960196/454421949980625 |
j-invariant |
L |
2.1680027927996 |
L(r)(E,1)/r! |
Ω |
0.21680027928104 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
76560d2 114840bj2 |
Quadratic twists by: -4 -3 |