Atkin-Lehner |
2+ 5+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
125120d |
Isogeny class |
Conductor |
125120 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
29952 |
Modular degree for the optimal curve |
Δ |
-50048000 = -1 · 210 · 53 · 17 · 23 |
Discriminant |
Eigenvalues |
2+ -1 5+ 2 3 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-501,4501] |
[a1,a2,a3,a4,a6] |
Generators |
[13:4:1] |
Generators of the group modulo torsion |
j |
-13608288256/48875 |
j-invariant |
L |
4.9482413684037 |
L(r)(E,1)/r! |
Ω |
2.0131585903495 |
Real period |
R |
1.2289745624967 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999449928 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125120bs1 7820d1 |
Quadratic twists by: -4 8 |