Atkin-Lehner |
2- 3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
109200dm |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
268800 |
Modular degree for the optimal curve |
Δ |
-23115456000000 = -1 · 212 · 34 · 56 · 73 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 2 13+ 4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10533,-472563] |
[a1,a2,a3,a4,a6] |
Generators |
[156:1287:1] |
Generators of the group modulo torsion |
j |
-2019487744/361179 |
j-invariant |
L |
5.9924368651342 |
L(r)(E,1)/r! |
Ω |
0.23335679240386 |
Real period |
R |
4.2798817246289 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000064032 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6825i1 4368w1 |
Quadratic twists by: -4 5 |