Atkin-Lehner |
2- 3+ 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
33072m |
Isogeny class |
Conductor |
33072 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
-6172028928 = -1 · 212 · 37 · 13 · 53 |
Discriminant |
Eigenvalues |
2- 3+ -2 -2 3 13+ 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2629,-51155] |
[a1,a2,a3,a4,a6] |
Generators |
[164628:2398051:729] |
Generators of the group modulo torsion |
j |
-490795651072/1506843 |
j-invariant |
L |
3.3116675031245 |
L(r)(E,1)/r! |
Ω |
0.33329461729591 |
Real period |
R |
9.9361565752028 |
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 |
2067a1 99216bd1 |
Quadratic twists by: -4 -3 |