Atkin-Lehner |
3- 61- |
Signs for the Atkin-Lehner involutions |
Class |
33489j |
Isogeny class |
Conductor |
33489 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9600 |
Modular degree for the optimal curve |
Δ |
-496407447 = -1 · 37 · 613 |
Discriminant |
Eigenvalues |
-1 3- 2 -2 0 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-149,1316] |
[a1,a2,a3,a4,a6] |
Generators |
[10:22:1] |
Generators of the group modulo torsion |
j |
-2197/3 |
j-invariant |
L |
4.1527763178784 |
L(r)(E,1)/r! |
Ω |
1.4921416824644 |
Real period |
R |
2.7830978563779 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11163c1 33489h1 |
Quadratic twists by: -3 61 |