Atkin-Lehner |
3- 23- 79- |
Signs for the Atkin-Lehner involutions |
Class |
125373i |
Isogeny class |
Conductor |
125373 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
5043456 |
Modular degree for the optimal curve |
Δ |
-1930872117184133787 = -1 · 311 · 234 · 794 |
Discriminant |
Eigenvalues |
-2 3- 0 -3 -4 -3 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-7442148,7812204518] |
[a1,a2,a3,a4,a6] |
Generators |
[-2037:120514:1] [96:84253:1] |
Generators of the group modulo torsion |
j |
-162894842395652608000/6899889998907 |
j-invariant |
L |
6.6516485755964 |
L(r)(E,1)/r! |
Ω |
0.24697817058327 |
Real period |
R |
0.61209389910158 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999893014 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125373e1 |
Quadratic twists by: -23 |