Atkin-Lehner |
2- 3- 5- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
123600cv |
Isogeny class |
Conductor |
123600 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3502080 |
Modular degree for the optimal curve |
Δ |
-1458044928000000000 = -1 · 228 · 33 · 59 · 103 |
Discriminant |
Eigenvalues |
2- 3- 5- -5 -2 2 -1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2012208,1099509588] |
[a1,a2,a3,a4,a6] |
j |
-112629603409757/182255616 |
j-invariant |
L |
3.2280990286997 |
L(r)(E,1)/r! |
Ω |
0.26900826519567 |
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 |
15450bb1 123600br1 |
Quadratic twists by: -4 5 |