Atkin-Lehner |
2- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
30800bq |
Isogeny class |
Conductor |
30800 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
118997401600000000 = 220 · 58 · 74 · 112 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 11- 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-523675,144914250] |
[a1,a2,a3,a4,a6] |
j |
248158561089321/1859334400 |
j-invariant |
L |
2.6667068215304 |
L(r)(E,1)/r! |
Ω |
0.33333835269127 |
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 |
3850n2 123200fg2 6160j2 |
Quadratic twists by: -4 8 5 |