Atkin-Lehner |
2+ 3+ 5+ 7- 101- |
Signs for the Atkin-Lehner involutions |
Class |
21210f |
Isogeny class |
Conductor |
21210 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
74977350 = 2 · 3 · 52 · 72 · 1012 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 2 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1578,23478] |
[a1,a2,a3,a4,a6] |
Generators |
[23:-8:1] |
Generators of the group modulo torsion |
j |
434985385981609/74977350 |
j-invariant |
L |
3.2843663609389 |
L(r)(E,1)/r! |
Ω |
1.8773621935009 |
Real period |
R |
0.87472901401466 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63630bw2 106050bv2 |
Quadratic twists by: -3 5 |