Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
87120ev |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
5.7606497003151E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11- 2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1786323,-843271022] |
[a1,a2,a3,a4,a6] |
Generators |
[-921:4550:1] [-871:7200:1] |
Generators of the group modulo torsion |
j |
119168121961/10890000 |
j-invariant |
L |
9.4278228273422 |
L(r)(E,1)/r! |
Ω |
0.13135358039964 |
Real period |
R |
8.9717984836375 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997277 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10890q2 29040dq2 7920be2 |
Quadratic twists by: -4 -3 -11 |