Atkin-Lehner |
2+ 3- 5+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
68970s |
Isogeny class |
Conductor |
68970 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
7.3284383631465E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11+ -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3598664,-2282383798] |
[a1,a2,a3,a4,a6] |
Generators |
[-1305:14503:1] |
Generators of the group modulo torsion |
j |
2185814337196139/310797325620 |
j-invariant |
L |
4.8740126271096 |
L(r)(E,1)/r! |
Ω |
0.11065135955602 |
Real period |
R |
1.3765117322135 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988796 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68970ce2 |
Quadratic twists by: -11 |