Atkin-Lehner |
2- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
72200bg |
Isogeny class |
Conductor |
72200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
23522940500000000 = 28 · 59 · 196 |
Discriminant |
Eigenvalues |
2- -2 5- 2 -4 -4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-255708,-49304912] |
[a1,a2,a3,a4,a6] |
Generators |
[-298:722:1] [614:5054:1] |
Generators of the group modulo torsion |
j |
78608 |
j-invariant |
L |
7.6579194081892 |
L(r)(E,1)/r! |
Ω |
0.21246995464353 |
Real period |
R |
4.5052954787575 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999617 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72200r2 200d2 |
Quadratic twists by: 5 -19 |