Atkin-Lehner |
2- 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
32032n |
Isogeny class |
Conductor |
32032 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
165120 |
Modular degree for the optimal curve |
Δ |
-1585439270711296 = -1 · 212 · 75 · 116 · 13 |
Discriminant |
Eigenvalues |
2- -2 -3 7- 11- 13- 2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2723,1915851] |
[a1,a2,a3,a4,a6] |
Generators |
[133:2156:1] |
Generators of the group modulo torsion |
j |
544938117632/387070134451 |
j-invariant |
L |
3.1803912812807 |
L(r)(E,1)/r! |
Ω |
0.37063245906513 |
Real period |
R |
0.14301640360476 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32032b1 64064l1 |
Quadratic twists by: -4 8 |