Atkin-Lehner |
2- 3- 5- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
123420bg |
Isogeny class |
Conductor |
123420 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
725760 |
Modular degree for the optimal curve |
Δ |
-24597681594750000 = -1 · 24 · 33 · 56 · 118 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11- -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-36945,-8037900] |
[a1,a2,a3,a4,a6] |
j |
-196755275776/867796875 |
j-invariant |
L |
2.815054262681 |
L(r)(E,1)/r! |
Ω |
0.15639192137059 |
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 |
11220k1 |
Quadratic twists by: -11 |