Atkin-Lehner |
2- 3+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
36456r |
Isogeny class |
Conductor |
36456 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
58820735232 = 28 · 32 · 77 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -2 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3348,-72540] |
[a1,a2,a3,a4,a6] |
Generators |
[-36:6:1] |
Generators of the group modulo torsion |
j |
137842000/1953 |
j-invariant |
L |
4.5292612290706 |
L(r)(E,1)/r! |
Ω |
0.62815227206497 |
Real period |
R |
1.8026127702211 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72912ba1 109368k1 5208n1 |
Quadratic twists by: -4 -3 -7 |