Atkin-Lehner |
2+ 3- 5+ 19+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
80370i |
Isogeny class |
Conductor |
80370 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
18887747029290000 = 24 · 38 · 54 · 194 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-15270300,22971620736] |
[a1,a2,a3,a4,a6] |
j |
540180506380946172004801/25909118010000 |
j-invariant |
L |
1.1552466994497 |
L(r)(E,1)/r! |
Ω |
0.28881166190437 |
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 |
26790x4 |
Quadratic twists by: -3 |