Atkin-Lehner |
3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
81225bc |
Isogeny class |
Conductor |
81225 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-48872437329825 = -1 · 37 · 52 · 197 |
Discriminant |
Eigenvalues |
1 3- 5+ -4 -3 0 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-50427,-4358934] |
[a1,a2,a3,a4,a6] |
Generators |
[3330:190026:1] |
Generators of the group modulo torsion |
j |
-16539745/57 |
j-invariant |
L |
4.293348107736 |
L(r)(E,1)/r! |
Ω |
0.15926258719953 |
Real period |
R |
3.3697086200928 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009736 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27075s1 81225br1 4275m1 |
Quadratic twists by: -3 5 -19 |