Atkin-Lehner |
2+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
113288n |
Isogeny class |
Conductor |
113288 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
352512 |
Modular degree for the optimal curve |
Δ |
-4900218475034624 = -1 · 211 · 73 · 178 |
Discriminant |
Eigenvalues |
2+ 1 -1 7- 0 -3 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,11464,-3330832] |
[a1,a2,a3,a4,a6] |
Generators |
[84894:1701343:216] |
Generators of the group modulo torsion |
j |
34 |
j-invariant |
L |
6.3099964415016 |
L(r)(E,1)/r! |
Ω |
0.20880955591193 |
Real period |
R |
5.0364844182285 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999891215 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113288p1 113288g1 |
Quadratic twists by: -7 17 |