Atkin-Lehner |
2+ 3+ 5- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
68970o |
Isogeny class |
Conductor |
68970 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2.9340993486045E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 11- 6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3770362,-2696245064] |
[a1,a2,a3,a4,a6] |
Generators |
[2382:41764:1] |
Generators of the group modulo torsion |
j |
3345930611358906241/165622259047500 |
j-invariant |
L |
3.6574979264571 |
L(r)(E,1)/r! |
Ω |
0.10867660269926 |
Real period |
R |
4.2068598885448 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001932 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
570i3 |
Quadratic twists by: -11 |