Atkin-Lehner |
2+ 3- 5- |
Signs for the Atkin-Lehner involutions |
Class |
14400cf |
Isogeny class |
Conductor |
14400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
136048896000000000 = 217 · 312 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 2 -2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-151500,14150000] |
[a1,a2,a3,a4,a6] |
Generators |
[-386:3888:1] |
Generators of the group modulo torsion |
j |
2060602/729 |
j-invariant |
L |
4.2492098670309 |
L(r)(E,1)/r! |
Ω |
0.30083178340377 |
Real period |
R |
1.7656087643704 |
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 |
14400eo2 1800j2 4800k2 14400ca2 |
Quadratic twists by: -4 8 -3 5 |