Atkin-Lehner |
2+ 3- 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
19530bh |
Isogeny class |
Conductor |
19530 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-108970425446400 = -1 · 212 · 36 · 52 · 72 · 313 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -6 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1134,502740] |
[a1,a2,a3,a4,a6] |
Generators |
[-39:717:1] |
Generators of the group modulo torsion |
j |
-221335335649/149479321600 |
j-invariant |
L |
3.9583840927786 |
L(r)(E,1)/r! |
Ω |
0.48049320384635 |
Real period |
R |
0.6865140618521 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2170n1 97650do1 |
Quadratic twists by: -3 5 |