Atkin-Lehner |
2- 3- 5+ |
Signs for the Atkin-Lehner involutions |
Class |
14400eg |
Isogeny class |
Conductor |
14400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
12244400640000000 = 215 · 314 · 57 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-72300,-5258000] |
[a1,a2,a3,a4,a6] |
Generators |
[-120:1300:1] |
Generators of the group modulo torsion |
j |
111980168/32805 |
j-invariant |
L |
3.7957501010755 |
L(r)(E,1)/r! |
Ω |
0.29769243512744 |
Real period |
R |
3.1876440691636 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14400ed4 7200bp2 4800ch4 2880bf3 |
Quadratic twists by: -4 8 -3 5 |