Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
33600hn |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
Δ |
526947047424000 = 214 · 37 · 53 · 76 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 -6 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-230993,42640143] |
[a1,a2,a3,a4,a6] |
Generators |
[259:504:1] |
Generators of the group modulo torsion |
j |
665567485783184/257298363 |
j-invariant |
L |
6.4122853806707 |
L(r)(E,1)/r! |
Ω |
0.51177819813718 |
Real period |
R |
0.1491597942236 |
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 |
33600bq2 8400bw2 100800pv2 33600fq2 |
Quadratic twists by: -4 8 -3 5 |