Atkin-Lehner |
2+ 5+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
125120g |
Isogeny class |
Conductor |
125120 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
179712 |
Modular degree for the optimal curve |
Δ |
-10645409792000 = -1 · 215 · 53 · 173 · 232 |
Discriminant |
Eigenvalues |
2+ -1 5+ -2 -2 1 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4319,-114175] |
[a1,a2,a3,a4,a6] |
Generators |
[91:1012:1] |
Generators of the group modulo torsion |
j |
271845927352/324872125 |
j-invariant |
L |
4.076945582148 |
L(r)(E,1)/r! |
Ω |
0.38714828200071 |
Real period |
R |
2.632677055421 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999653472 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125120l1 62560p1 |
Quadratic twists by: -4 8 |