Atkin-Lehner |
2- 3- 5+ 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
36120ba |
Isogeny class |
Conductor |
36120 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-24272640 = -1 · 28 · 32 · 5 · 72 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 -4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,44,224] |
[a1,a2,a3,a4,a6] |
Generators |
[2:18:1] |
Generators of the group modulo torsion |
j |
35969456/94815 |
j-invariant |
L |
5.5710278425118 |
L(r)(E,1)/r! |
Ω |
1.4912584756162 |
Real period |
R |
0.93394738967178 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72240g1 108360p1 |
Quadratic twists by: -4 -3 |