Atkin-Lehner |
2- 5- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
59360h |
Isogeny class |
Conductor |
59360 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
188160 |
Modular degree for the optimal curve |
Δ |
-308315840000000 = -1 · 212 · 57 · 73 · 532 |
Discriminant |
Eigenvalues |
2- -1 5- 7- -3 -3 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11725,979877] |
[a1,a2,a3,a4,a6] |
Generators |
[59:-700:1] [-101:1060:1] |
Generators of the group modulo torsion |
j |
-43525057931776/75272421875 |
j-invariant |
L |
8.7699889367121 |
L(r)(E,1)/r! |
Ω |
0.48724745497998 |
Real period |
R |
0.21427434690936 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999876 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59360f1 118720q1 |
Quadratic twists by: -4 8 |