Atkin-Lehner |
2- 3- 5- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
60450db |
Isogeny class |
Conductor |
60450 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
289695744000 = 214 · 33 · 53 · 132 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 4 13- 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-14948,701712] |
[a1,a2,a3,a4,a6] |
Generators |
[76:40:1] |
Generators of the group modulo torsion |
j |
2955049652180501/2317565952 |
j-invariant |
L |
12.593466704943 |
L(r)(E,1)/r! |
Ω |
0.96608518737765 |
Real period |
R |
0.31037060631095 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000046 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60450s1 |
Quadratic twists by: 5 |