Atkin-Lehner |
2+ 3+ 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
26166f |
Isogeny class |
Conductor |
26166 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1451520 |
Modular degree for the optimal curve |
Δ |
-3.7884358736007E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7- -3 -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5709141,-5335779987] |
[a1,a2,a3,a4,a6] |
Generators |
[70685190075482823102251220:-6126641646111396521944999489:8619689720968037928000] |
Generators of the group modulo torsion |
j |
-419991071569134476356393/7731501782858499456 |
j-invariant |
L |
3.9606261503039 |
L(r)(E,1)/r! |
Ω |
0.048781220493565 |
Real period |
R |
40.595808286781 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78498bv1 26166j1 |
Quadratic twists by: -3 -7 |