Atkin-Lehner |
3- 5+ 7+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
128205q |
Isogeny class |
Conductor |
128205 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
222208 |
Modular degree for the optimal curve |
Δ |
-117543343995 = -1 · 37 · 5 · 74 · 112 · 37 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7+ 11- -5 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,897,-12852] |
[a1,a2,a3,a4,a6] |
Generators |
[14:49:1] [32:-221:1] |
Generators of the group modulo torsion |
j |
109489762304/161239155 |
j-invariant |
L |
5.1220629127101 |
L(r)(E,1)/r! |
Ω |
0.55625783867448 |
Real period |
R |
0.57550457589974 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000015841 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42735n1 |
Quadratic twists by: -3 |