Atkin-Lehner |
2+ 3- 73- |
Signs for the Atkin-Lehner involutions |
Class |
3504k |
Isogeny class |
Conductor |
3504 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
192 |
Modular degree for the optimal curve |
Δ |
-56064 = -1 · 28 · 3 · 73 |
Discriminant |
Eigenvalues |
2+ 3- -1 0 0 0 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1,11] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:3:1] |
Generators of the group modulo torsion |
j |
-1024/219 |
j-invariant |
L |
3.9019365519755 |
L(r)(E,1)/r! |
Ω |
2.8799030759663 |
Real period |
R |
1.3548846780777 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1752f1 14016bl1 10512i1 87600a1 |
Quadratic twists by: -4 8 -3 5 |