Atkin-Lehner |
2+ 3- 5- 17- 73- |
Signs for the Atkin-Lehner involutions |
Class |
111690z |
Isogeny class |
Conductor |
111690 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
18063360 |
Modular degree for the optimal curve |
Δ |
-3.2124770885804E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 3 5 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-175180419,892482675925] |
[a1,a2,a3,a4,a6] |
Generators |
[7601:-10303:1] |
Generators of the group modulo torsion |
j |
-815554272983129811709705009/4406690107792080000 |
j-invariant |
L |
5.7146581315343 |
L(r)(E,1)/r! |
Ω |
0.12572734743974 |
Real period |
R |
1.1363196245478 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000073512 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37230s1 |
Quadratic twists by: -3 |