Atkin-Lehner |
2- 3+ 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
68970bk |
Isogeny class |
Conductor |
68970 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
3300448060413543600 = 24 · 32 · 52 · 117 · 196 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11- -2 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-935756,-337658947] |
[a1,a2,a3,a4,a6] |
Generators |
[-489:2059:1] |
Generators of the group modulo torsion |
j |
51151160533082329/1863016887600 |
j-invariant |
L |
6.7247650252034 |
L(r)(E,1)/r! |
Ω |
0.15384402572774 |
Real period |
R |
1.3659867909451 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001318 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6270a2 |
Quadratic twists by: -11 |