Atkin-Lehner |
2- 3- 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
38064bf |
Isogeny class |
Conductor |
38064 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-5481216 = -1 · 28 · 33 · 13 · 61 |
Discriminant |
Eigenvalues |
2- 3- 1 3 -2 13- -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5,111] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:6:1] |
Generators of the group modulo torsion |
j |
-65536/21411 |
j-invariant |
L |
8.485375123435 |
L(r)(E,1)/r! |
Ω |
1.9589713538715 |
Real period |
R |
0.7219243836537 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9516b1 114192bz1 |
Quadratic twists by: -4 -3 |