Atkin-Lehner |
2- 3- 5- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
68970cu |
Isogeny class |
Conductor |
68970 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
Δ |
2158425633375000 = 23 · 33 · 56 · 116 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11- -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-133405,-18631975] |
[a1,a2,a3,a4,a6] |
Generators |
[-220:395:1] |
Generators of the group modulo torsion |
j |
148212258825961/1218375000 |
j-invariant |
L |
12.266830259174 |
L(r)(E,1)/r! |
Ω |
0.24993198632963 |
Real period |
R |
0.90890136403535 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001187 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
570f2 |
Quadratic twists by: -11 |