Atkin-Lehner |
2+ 5+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
125120l |
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] |
j |
271845927352/324872125 |
j-invariant |
L |
1.9282158879261 |
L(r)(E,1)/r! |
Ω |
0.4820544356567 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125120g1 62560f1 |
Quadratic twists by: -4 8 |