Atkin-Lehner |
2- 3- 5- |
Signs for the Atkin-Lehner involutions |
Class |
14400fj |
Isogeny class |
Conductor |
14400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
13122000000000 = 210 · 38 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 4 0 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12000,475000] |
[a1,a2,a3,a4,a6] |
j |
131072/9 |
j-invariant |
L |
1.3901041352722 |
L(r)(E,1)/r! |
Ω |
0.69505206763608 |
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 |
14400cn1 3600br1 4800cs1 14400fg1 |
Quadratic twists by: -4 8 -3 5 |