Atkin-Lehner |
2- 3+ 5- 11- 103- |
Signs for the Atkin-Lehner involutions |
Class |
33990bb |
Isogeny class |
Conductor |
33990 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-32516293530600 = -1 · 23 · 34 · 52 · 117 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 11- 1 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,2000,273017] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:501:1] |
Generators of the group modulo torsion |
j |
884708352287999/32516293530600 |
j-invariant |
L |
8.5690900858208 |
L(r)(E,1)/r! |
Ω |
0.49654043302582 |
Real period |
R |
0.20544747300941 |
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 |
101970o1 |
Quadratic twists by: -3 |