Atkin-Lehner |
2- 3- 23+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
30222f |
Isogeny class |
Conductor |
30222 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
145938894912 = 26 · 310 · 232 · 73 |
Discriminant |
Eigenvalues |
2- 3- -2 0 6 0 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1661,-18043] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:94:1] |
Generators of the group modulo torsion |
j |
694800198793/200190528 |
j-invariant |
L |
8.1669517089178 |
L(r)(E,1)/r! |
Ω |
0.76431736262077 |
Real period |
R |
0.89044072836816 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10074m1 |
Quadratic twists by: -3 |