Atkin-Lehner |
2- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
14440i |
Isogeny class |
Conductor |
14440 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7488 |
Modular degree for the optimal curve |
Δ |
-462080000 = -1 · 211 · 54 · 192 |
Discriminant |
Eigenvalues |
2- 1 5- -2 5 -6 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-880,-10400] |
[a1,a2,a3,a4,a6] |
j |
-102053522/625 |
j-invariant |
L |
1.7523013495538 |
L(r)(E,1)/r! |
Ω |
0.43807533738845 |
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 |
28880i1 115520l1 129960x1 72200g1 |
Quadratic twists by: -4 8 -3 5 |