Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
13200bq |
Isogeny class |
Conductor |
13200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
117612000000 = 28 · 35 · 56 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 11- -6 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-32308,-2224388] |
[a1,a2,a3,a4,a6] |
Generators |
[16903338:312559525:39304] |
Generators of the group modulo torsion |
j |
932410994128/29403 |
j-invariant |
L |
4.1744720029536 |
L(r)(E,1)/r! |
Ω |
0.35609980648583 |
Real period |
R |
11.722758414697 |
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 |
3300l2 52800gd2 39600dg2 528i2 |
Quadratic twists by: -4 8 -3 5 |