Atkin-Lehner |
2+ 5- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
125120bk |
Isogeny class |
Conductor |
125120 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
467712 |
Modular degree for the optimal curve |
Δ |
-16547120000000 = -1 · 210 · 57 · 17 · 233 |
Discriminant |
Eigenvalues |
2+ -3 5- 2 -5 -6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,6368,6856] |
[a1,a2,a3,a4,a6] |
Generators |
[1:115:1] [162:-2300:1] |
Generators of the group modulo torsion |
j |
27888998547456/16159296875 |
j-invariant |
L |
7.8479821449791 |
L(r)(E,1)/r! |
Ω |
0.41698664906282 |
Real period |
R |
0.44811199141952 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001643 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125120db1 7820a1 |
Quadratic twists by: -4 8 |