Atkin-Lehner |
2+ 3- 5+ 19- 47- |
Signs for the Atkin-Lehner involutions |
Class |
80370n |
Isogeny class |
Conductor |
80370 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1208815809874560000 = 210 · 38 · 54 · 194 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-362835,-65318859] |
[a1,a2,a3,a4,a6] |
j |
7246434613667776561/1658183552640000 |
j-invariant |
L |
1.581776512618 |
L(r)(E,1)/r! |
Ω |
0.19772205750376 |
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 |
26790y2 |
Quadratic twists by: -3 |