Atkin-Lehner |
2- 3- 19- 103- |
Signs for the Atkin-Lehner involutions |
Class |
35226f |
Isogeny class |
Conductor |
35226 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
4702248288 = 25 · 36 · 19 · 1032 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 0 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-29165,1924341] |
[a1,a2,a3,a4,a6] |
Generators |
[-133:1920:1] |
Generators of the group modulo torsion |
j |
3763294153503625/6450272 |
j-invariant |
L |
7.3267624894613 |
L(r)(E,1)/r! |
Ω |
1.1736052350906 |
Real period |
R |
1.2485906283295 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3914e2 |
Quadratic twists by: -3 |