Atkin-Lehner |
2- 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
11270t |
Isogeny class |
Conductor |
11270 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
51701350400 = 218 · 52 · 73 · 23 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 4 -4 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5977,179001] |
[a1,a2,a3,a4,a6] |
Generators |
[39:44:1] |
Generators of the group modulo torsion |
j |
68835304542087/150732800 |
j-invariant |
L |
7.0306633209083 |
L(r)(E,1)/r! |
Ω |
1.1261831060391 |
Real period |
R |
0.34682850827952 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90160cq1 101430bb1 56350c1 11270m1 |
Quadratic twists by: -4 -3 5 -7 |