Atkin-Lehner |
2- 5- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
125120ct |
Isogeny class |
Conductor |
125120 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-2314219520 = -1 · 212 · 5 · 173 · 23 |
Discriminant |
Eigenvalues |
2- -1 5- 4 5 2 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5225,147145] |
[a1,a2,a3,a4,a6] |
j |
-3852172835776/564995 |
j-invariant |
L |
2.8124804277869 |
L(r)(E,1)/r! |
Ω |
1.4062401904996 |
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 |
125120cn1 62560m1 |
Quadratic twists by: -4 8 |