Atkin-Lehner |
2+ 3+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
54150a |
Isogeny class |
Conductor |
54150 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
7223040 |
Modular degree for the optimal curve |
Δ |
-8.3477609059123E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 1 2 3 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-46194650,121624564500] |
[a1,a2,a3,a4,a6] |
Generators |
[127260:110835570:343] |
Generators of the group modulo torsion |
j |
-41081844659329/314572800 |
j-invariant |
L |
4.1892700858949 |
L(r)(E,1)/r! |
Ω |
0.1085731254568 |
Real period |
R |
3.215398276745 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999036 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10830z1 54150cl1 |
Quadratic twists by: 5 -19 |