Atkin-Lehner |
2- 5- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
99400u |
Isogeny class |
Conductor |
99400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
123504500000000 = 28 · 59 · 72 · 712 |
Discriminant |
Eigenvalues |
2- -2 5- 7- 0 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-29708,1887088] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:1750:1] |
Generators of the group modulo torsion |
j |
5799473552/247009 |
j-invariant |
L |
4.7843047641604 |
L(r)(E,1)/r! |
Ω |
0.58209922266447 |
Real period |
R |
1.0273817098265 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014219 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99400j2 |
Quadratic twists by: 5 |