Atkin-Lehner |
2+ 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
87120c |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1013760 |
Modular degree for the optimal curve |
Δ |
43204872752363520 = 211 · 39 · 5 · 118 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 11- -1 -1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2120283,1188292842] |
[a1,a2,a3,a4,a6] |
Generators |
[1089:13068:1] [522:14958:1] |
Generators of the group modulo torsion |
j |
121995126/5 |
j-invariant |
L |
10.517376707922 |
L(r)(E,1)/r! |
Ω |
0.33870936418168 |
Real period |
R |
1.2938054740884 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999851 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43560bh1 87120k1 87120a1 |
Quadratic twists by: -4 -3 -11 |