Atkin-Lehner |
2- 3+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
36192x |
Isogeny class |
Conductor |
36192 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-4615294754304 = -1 · 29 · 37 · 132 · 293 |
Discriminant |
Eigenvalues |
2- 3+ 3 -5 6 13- -1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1776,98676] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:234:1] |
Generators of the group modulo torsion |
j |
1209311206264/9014247567 |
j-invariant |
L |
5.1878530657445 |
L(r)(E,1)/r! |
Ω |
0.56327863533652 |
Real period |
R |
2.3025252247694 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36192bd1 72384df1 108576r1 |
Quadratic twists by: -4 8 -3 |