Atkin-Lehner |
2+ 3+ 5- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
60450z |
Isogeny class |
Conductor |
60450 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
1016064 |
Modular degree for the optimal curve |
Δ |
-2987833385472000 = -1 · 212 · 3 · 53 · 137 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 -1 13- -4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1728005,-875034675] |
[a1,a2,a3,a4,a6] |
Generators |
[2890:133755:1] |
Generators of the group modulo torsion |
j |
-4565087184584250926477/23902667083776 |
j-invariant |
L |
3.0490147012666 |
L(r)(E,1)/r! |
Ω |
0.065838987146399 |
Real period |
R |
1.653934650336 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000334 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60450cs1 |
Quadratic twists by: 5 |