Atkin-Lehner |
2+ 3- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
58032k |
Isogeny class |
Conductor |
58032 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-2654596593198576 = -1 · 24 · 38 · 138 · 31 |
Discriminant |
Eigenvalues |
2+ 3- -3 -1 0 13+ 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,33081,884081] |
[a1,a2,a3,a4,a6] |
Generators |
[33544:771147:343] |
Generators of the group modulo torsion |
j |
343251219630848/227588871159 |
j-invariant |
L |
3.6391919370403 |
L(r)(E,1)/r! |
Ω |
0.28554614223218 |
Real period |
R |
3.1861680118325 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997549 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29016l1 19344d1 |
Quadratic twists by: -4 -3 |