Atkin-Lehner |
3- 5+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
125235l |
Isogeny class |
Conductor |
125235 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
354816 |
Modular degree for the optimal curve |
Δ |
-115546898671875 = -1 · 312 · 57 · 112 · 23 |
Discriminant |
Eigenvalues |
1 3- 5+ 3 11- 0 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,12105,-71604] |
[a1,a2,a3,a4,a6] |
Generators |
[23176440:6012914382:343] |
Generators of the group modulo torsion |
j |
2223745148999/1309921875 |
j-invariant |
L |
9.6538047287617 |
L(r)(E,1)/r! |
Ω |
0.34688833152028 |
Real period |
R |
13.91485943303 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999840848 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41745bg1 125235m1 |
Quadratic twists by: -3 -11 |