Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
87120cz |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
-334540800 = -1 · 212 · 33 · 52 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 11- -2 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-528,-4752] |
[a1,a2,a3,a4,a6] |
Generators |
[49:295:1] |
Generators of the group modulo torsion |
j |
-1216512/25 |
j-invariant |
L |
6.6199587681566 |
L(r)(E,1)/r! |
Ω |
0.49737323576072 |
Real period |
R |
3.3274602885762 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008729 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5445b1 87120dm1 87120db1 |
Quadratic twists by: -4 -3 -11 |