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 |
Δ |
824722379940796875 = 310 · 56 · 197 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 0 6 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8246030,9116091722] |
[a1,a2,a3,a4,a6] |
Generators |
[309:81070:1] |
Generators of the group modulo torsion |
j |
115714886617/1539 |
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 |
27075q4 3249e3 4275e3 |
Quadratic twists by: -3 5 -19 |