Atkin-Lehner |
2+ 3- 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
68970v |
Isogeny class |
Conductor |
68970 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
46430133624600 = 23 · 3 · 52 · 118 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 11- 2 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1873809,-987426068] |
[a1,a2,a3,a4,a6] |
Generators |
[7281686478933310:-130785342641658793:4224031292125] |
Generators of the group modulo torsion |
j |
410717520667800289/26208600 |
j-invariant |
L |
6.4036622561599 |
L(r)(E,1)/r! |
Ω |
0.12903818742337 |
Real period |
R |
24.81305102376 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985328 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6270q2 |
Quadratic twists by: -11 |