Atkin-Lehner |
2- 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
4410bi |
Isogeny class |
Conductor |
4410 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
-765912902060250 = -1 · 2 · 312 · 53 · 78 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -3 5 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-14342,-1483009] |
[a1,a2,a3,a4,a6] |
j |
-77626969/182250 |
j-invariant |
L |
3.6664809800107 |
L(r)(E,1)/r! |
Ω |
0.20369338777837 |
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 |
35280ez1 1470f1 22050z1 4410bd1 |
Quadratic twists by: -4 -3 5 -7 |