Atkin-Lehner |
2- 3+ 5+ 23+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
127650bz |
Isogeny class |
Conductor |
127650 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
6773760 |
Modular degree for the optimal curve |
Δ |
-4.0766344848E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 -2 2 -8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1807313,-1349173969] |
[a1,a2,a3,a4,a6] |
j |
-41783404048199278921/26090460702720000 |
j-invariant |
L |
1.7727424656837 |
L(r)(E,1)/r! |
Ω |
0.063312268508619 |
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 |
25530w1 |
Quadratic twists by: 5 |