Atkin-Lehner |
2- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
54080cz |
Isogeny class |
Conductor |
54080 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
239616 |
Modular degree for the optimal curve |
Δ |
20882706457600 = 210 · 52 · 138 |
Discriminant |
Eigenvalues |
2- -1 5- 3 1 13+ 1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-284145,-58203575] |
[a1,a2,a3,a4,a6] |
Generators |
[-15707234760:1006040645:51064811] |
Generators of the group modulo torsion |
j |
3037375744/25 |
j-invariant |
L |
6.0331612393215 |
L(r)(E,1)/r! |
Ω |
0.20678290736397 |
Real period |
R |
14.588152658028 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998818 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54080bh1 13520b1 54080cc1 |
Quadratic twists by: -4 8 13 |