Atkin-Lehner |
2- 3- 5- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
68970cu |
Isogeny class |
Conductor |
68970 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
-143340643406315520 = -1 · 218 · 32 · 5 · 116 · 193 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11- -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,24500,18157712] |
[a1,a2,a3,a4,a6] |
Generators |
[32:4340:1] |
Generators of the group modulo torsion |
j |
918046641959/80912056320 |
j-invariant |
L |
12.266830259174 |
L(r)(E,1)/r! |
Ω |
0.24993198632963 |
Real period |
R |
1.363352046053 |
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 |
570f3 |
Quadratic twists by: -11 |