Atkin-Lehner |
2+ 3- 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
34320y |
Isogeny class |
Conductor |
34320 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
199058745600 = 28 · 32 · 52 · 112 · 134 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11- 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9300,-347652] |
[a1,a2,a3,a4,a6] |
Generators |
[138:1008:1] |
Generators of the group modulo torsion |
j |
347519589019216/777573225 |
j-invariant |
L |
7.8288265406405 |
L(r)(E,1)/r! |
Ω |
0.48622055277551 |
Real period |
R |
4.0253473942797 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
17160t2 102960z2 |
Quadratic twists by: -4 -3 |