Atkin-Lehner |
2- 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
33088bg |
Isogeny class |
Conductor |
33088 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-8844058432 = -1 · 26 · 113 · 473 |
Discriminant |
Eigenvalues |
2- 0 2 -3 11- -3 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-59,4528] |
[a1,a2,a3,a4,a6] |
Generators |
[4:66:1] [96:940:1] |
Generators of the group modulo torsion |
j |
-354894912/138188413 |
j-invariant |
L |
8.6343901004497 |
L(r)(E,1)/r! |
Ω |
1.0571819703184 |
Real period |
R |
0.90748490303789 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33088v1 16544c1 |
Quadratic twists by: -4 8 |