Atkin-Lehner |
2+ 3- 5+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
45450k |
Isogeny class |
Conductor |
45450 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
207081562500 = 22 · 38 · 57 · 101 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 -4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1917,24241] |
[a1,a2,a3,a4,a6] |
Generators |
[59:308:1] [-338:1519:8] |
Generators of the group modulo torsion |
j |
68417929/18180 |
j-invariant |
L |
6.9828743496791 |
L(r)(E,1)/r! |
Ω |
0.93561124754832 |
Real period |
R |
0.93292945761085 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15150y1 9090x1 |
Quadratic twists by: -3 5 |