Atkin-Lehner |
2- 3+ 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
34320ba |
Isogeny class |
Conductor |
34320 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
140574720 = 216 · 3 · 5 · 11 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11+ 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-736,-7424] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:4:1] [33:56:1] |
Generators of the group modulo torsion |
j |
10779215329/34320 |
j-invariant |
L |
7.0766094980116 |
L(r)(E,1)/r! |
Ω |
0.916672224471 |
Real period |
R |
7.719890828039 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4290z1 102960ek1 |
Quadratic twists by: -4 -3 |