Atkin-Lehner |
3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
81225bd |
Isogeny class |
Conductor |
81225 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
30545273331140625 = 37 · 56 · 197 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 0 6 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-123530,-14410528] |
[a1,a2,a3,a4,a6] |
Generators |
[-185:1536:1] |
Generators of the group modulo torsion |
j |
389017/57 |
j-invariant |
L |
3.9297107839486 |
L(r)(E,1)/r! |
Ω |
0.25715103320286 |
Real period |
R |
1.9102153385107 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001132 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27075q1 3249e1 4275e1 |
Quadratic twists by: -3 5 -19 |