Atkin-Lehner |
2- 3- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
87120fc |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
2064384 |
Modular degree for the optimal curve |
Δ |
1.4240795635954E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11+ -4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1669107,809890994] |
[a1,a2,a3,a4,a6] |
j |
129392980254539/3583180800 |
j-invariant |
L |
3.5484620999883 |
L(r)(E,1)/r! |
Ω |
0.22177888151273 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10890t1 29040bt1 87120fd1 |
Quadratic twists by: -4 -3 -11 |