Atkin-Lehner |
2- 3+ 5+ 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
122010bz |
Isogeny class |
Conductor |
122010 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
39168 |
Modular degree for the optimal curve |
Δ |
-24402000 = -1 · 24 · 3 · 53 · 72 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 -5 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-36,-267] |
[a1,a2,a3,a4,a6] |
j |
-105484561/498000 |
j-invariant |
L |
3.5285865197918 |
L(r)(E,1)/r! |
Ω |
0.88214656209102 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122010di1 |
Quadratic twists by: -7 |