Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
13200bt |
Isogeny class |
Conductor |
13200 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2.9265629184E+24 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 11- -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-48874408,102589939312] |
[a1,a2,a3,a4,a6] |
Generators |
[40895245874:4165526254050:25153757] |
Generators of the group modulo torsion |
j |
201738262891771037089/45727545600000000 |
j-invariant |
L |
4.5522139870918 |
L(r)(E,1)/r! |
Ω |
0.075654726792567 |
Real period |
R |
15.042728260632 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1650g2 52800gm2 39600dk2 2640u2 |
Quadratic twists by: -4 8 -3 5 |