Atkin-Lehner |
2+ 7- 23- 37- |
Signs for the Atkin-Lehner involutions |
Class |
83398g |
Isogeny class |
Conductor |
83398 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-4609160200371306496 = -1 · 227 · 79 · 23 · 37 |
Discriminant |
Eigenvalues |
2+ 2 -3 7- -6 4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-14409029744,665727203458304] |
[a1,a2,a3,a4,a6] |
j |
-2812157792529125619433313717497/39177215279104 |
j-invariant |
L |
1.5321590814916 |
L(r)(E,1)/r! |
Ω |
0.085119952167028 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11914e3 |
Quadratic twists by: -7 |