Atkin-Lehner |
2+ 3+ 5- 19+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
33630c |
Isogeny class |
Conductor |
33630 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-33098361191901900 = -1 · 22 · 316 · 52 · 194 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 0 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-17877,-8808759] |
[a1,a2,a3,a4,a6] |
Generators |
[85362:1422979:216] |
Generators of the group modulo torsion |
j |
-631895977219705561/33098361191901900 |
j-invariant |
L |
3.9668612557144 |
L(r)(E,1)/r! |
Ω |
0.16186761435158 |
Real period |
R |
6.1267061845649 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100890q3 |
Quadratic twists by: -3 |