Atkin-Lehner |
2- 3+ 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
124950ey |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
38 |
Product of Tamagawa factors cp |
deg |
10725120 |
Modular degree for the optimal curve |
Δ |
-4.87237069679E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -1 -5 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4155838,4679297531] |
[a1,a2,a3,a4,a6] |
Generators |
[-911:88263:1] |
Generators of the group modulo torsion |
j |
-12589171852447/7727480832 |
j-invariant |
L |
8.6524941833522 |
L(r)(E,1)/r! |
Ω |
0.12666462079085 |
Real period |
R |
1.7976386478989 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998988258 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4998t1 124950id1 |
Quadratic twists by: 5 -7 |