Atkin-Lehner |
2- 3- 5- 11- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
33990bj |
Isogeny class |
Conductor |
33990 |
Conductor |
∏ cp |
600 |
Product of Tamagawa factors cp |
deg |
134400 |
Modular degree for the optimal curve |
Δ |
-130293187200000 = -1 · 210 · 33 · 55 · 114 · 103 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 11- -4 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-8120,616512] |
[a1,a2,a3,a4,a6] |
Generators |
[-86:-782:1] |
Generators of the group modulo torsion |
j |
-59210011117918081/130293187200000 |
j-invariant |
L |
10.039091464355 |
L(r)(E,1)/r! |
Ω |
0.51958407680623 |
Real period |
R |
0.032202332315696 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101970k1 |
Quadratic twists by: -3 |