Atkin-Lehner |
2+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
21824m |
Isogeny class |
Conductor |
21824 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-83155895713792 = -1 · 221 · 113 · 313 |
Discriminant |
Eigenvalues |
2+ 2 0 -1 11- 4 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,10687,104513] |
[a1,a2,a3,a4,a6] |
Generators |
[64:1023:1] |
Generators of the group modulo torsion |
j |
514885403375/317214568 |
j-invariant |
L |
7.3840431217746 |
L(r)(E,1)/r! |
Ω |
0.37508129466166 |
Real period |
R |
1.0936952167834 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21824q2 682a2 |
Quadratic twists by: -4 8 |