Atkin-Lehner |
2- 7- 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
21476j |
Isogeny class |
Conductor |
21476 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
Δ |
-3241367545567400704 = -1 · 28 · 73 · 139 · 592 |
Discriminant |
Eigenvalues |
2- -2 3 7- -6 13- 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4706189,-3932158241] |
[a1,a2,a3,a4,a6] |
Generators |
[3970:199927:1] |
Generators of the group modulo torsion |
j |
-45028961639025538342912/12661591974872659 |
j-invariant |
L |
4.327396091324 |
L(r)(E,1)/r! |
Ω |
0.051250119742526 |
Real period |
R |
1.563644437452 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85904n2 |
Quadratic twists by: -4 |