Atkin-Lehner |
2+ 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
4410p |
Isogeny class |
Conductor |
4410 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
-51438240 = -1 · 25 · 38 · 5 · 72 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 1 -7 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-324,-2192] |
[a1,a2,a3,a4,a6] |
j |
-105484561/1440 |
j-invariant |
L |
1.1242109269791 |
L(r)(E,1)/r! |
Ω |
0.56210546348956 |
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 |
35280fi1 1470j1 22050ea1 4410f1 |
Quadratic twists by: -4 -3 5 -7 |