Atkin-Lehner |
2+ 3+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
11856f |
Isogeny class |
Conductor |
11856 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
881905404976128 = 210 · 320 · 13 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 4 13- -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-24952,518368] |
[a1,a2,a3,a4,a6] |
Generators |
[497715:523754:3375] |
Generators of the group modulo torsion |
j |
1677865892403172/861235747047 |
j-invariant |
L |
4.7131385943979 |
L(r)(E,1)/r! |
Ω |
0.44003376061119 |
Real period |
R |
10.710856793923 |
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 |
5928h3 47424cz4 35568s4 |
Quadratic twists by: -4 8 -3 |