Atkin-Lehner |
2- 5+ 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
10220b |
Isogeny class |
Conductor |
10220 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
3720 |
Modular degree for the optimal curve |
Δ |
-25550000 = -1 · 24 · 55 · 7 · 73 |
Discriminant |
Eigenvalues |
2- 3 5+ 7+ 4 6 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,32,233] |
[a1,a2,a3,a4,a6] |
j |
226492416/1596875 |
j-invariant |
L |
4.6256137309577 |
L(r)(E,1)/r! |
Ω |
1.5418712436526 |
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 |
40880t1 91980bb1 51100m1 71540n1 |
Quadratic twists by: -4 -3 5 -7 |