Atkin-Lehner |
2- 3+ 5+ 11+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
33990u |
Isogeny class |
Conductor |
33990 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-1665679950 = -1 · 2 · 35 · 52 · 113 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 11+ -6 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-111,-2061] |
[a1,a2,a3,a4,a6] |
Generators |
[1076:1635:64] |
Generators of the group modulo torsion |
j |
-151334226289/1665679950 |
j-invariant |
L |
6.6713648941469 |
L(r)(E,1)/r! |
Ω |
0.63647055937521 |
Real period |
R |
5.2409061156701 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101970bd1 |
Quadratic twists by: -3 |