Atkin-Lehner |
2- 3+ 5- 11- 103- |
Signs for the Atkin-Lehner involutions |
Class |
33990bc |
Isogeny class |
Conductor |
33990 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
32832 |
Modular degree for the optimal curve |
Δ |
43507200 = 29 · 3 · 52 · 11 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 11- -5 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5770,166295] |
[a1,a2,a3,a4,a6] |
Generators |
[43:-17:1] |
Generators of the group modulo torsion |
j |
21244956970891681/43507200 |
j-invariant |
L |
8.3491460773671 |
L(r)(E,1)/r! |
Ω |
1.7441972141657 |
Real period |
R |
0.26593406122625 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101970p1 |
Quadratic twists by: -3 |