Atkin-Lehner |
2- 3- 5+ 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
36120bb |
Isogeny class |
Conductor |
36120 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
28717928400 = 24 · 3 · 52 · 7 · 434 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 4 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-791,2370] |
[a1,a2,a3,a4,a6] |
j |
3425169823744/1794870525 |
j-invariant |
L |
4.1483495775977 |
L(r)(E,1)/r! |
Ω |
1.0370873944029 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72240f1 108360q1 |
Quadratic twists by: -4 -3 |