Atkin-Lehner |
2+ 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
73034g |
Isogeny class |
Conductor |
73034 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12016160 |
Modular degree for the optimal curve |
Δ |
-1.7845121504466E+19 |
Discriminant |
Eigenvalues |
2+ 0 -1 -4 -3 13- 7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-407169290,-3162253319916] |
[a1,a2,a3,a4,a6] |
Generators |
[127691065494722067620595:128215285013547166335009363:126471990509558875] |
Generators of the group modulo torsion |
j |
-2262381966750933/5408 |
j-invariant |
L |
2.2943981148044 |
L(r)(E,1)/r! |
Ω |
0.016804508133437 |
Real period |
R |
34.133669616891 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73034m1 |
Quadratic twists by: 53 |