Atkin-Lehner |
2- 5- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
125120cn |
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] |
Generators |
[2719417:19947656:24389] |
Generators of the group modulo torsion |
j |
-3852172835776/564995 |
j-invariant |
L |
6.2192032990667 |
L(r)(E,1)/r! |
Ω |
0.28076129537517 |
Real period |
R |
11.075606497575 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000071419 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125120ct1 62560j1 |
Quadratic twists by: -4 8 |