Atkin-Lehner |
2- 3+ 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
87120df |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
2027520 |
Modular degree for the optimal curve |
Δ |
1.6689289666757E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 11+ 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1513347,356566914] |
[a1,a2,a3,a4,a6] |
Generators |
[-447:30720:1] |
Generators of the group modulo torsion |
j |
1469878353/640000 |
j-invariant |
L |
6.4244358212043 |
L(r)(E,1)/r! |
Ω |
0.16331858798063 |
Real period |
R |
2.4585519847698 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004874 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10890f1 87120cs1 87120de1 |
Quadratic twists by: -4 -3 -11 |