Atkin-Lehner |
2- 3- 5+ 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
122010cv |
Isogeny class |
Conductor |
122010 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
3483648 |
Modular degree for the optimal curve |
Δ |
-1544023269845952000 = -1 · 29 · 3 · 53 · 713 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -5 -3 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-884941,-326023279] |
[a1,a2,a3,a4,a6] |
j |
-651446046858075841/13123981248000 |
j-invariant |
L |
2.7984971638858 |
L(r)(E,1)/r! |
Ω |
0.077736071727633 |
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 |
17430be1 |
Quadratic twists by: -7 |