Atkin-Lehner |
2+ 3+ 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
128064c |
Isogeny class |
Conductor |
128064 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3331509236269056 = 219 · 33 · 234 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -4 0 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15502017,-23487397695] |
[a1,a2,a3,a4,a6] |
Generators |
[-118768066484500171489506080:-644983180471046863537967:52254290065660858901375] |
Generators of the group modulo torsion |
j |
1571623248760107387697/12708699174 |
j-invariant |
L |
5.4122347902636 |
L(r)(E,1)/r! |
Ω |
0.076085605361145 |
Real period |
R |
35.566744817973 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000313848 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128064dg4 4002o3 |
Quadratic twists by: -4 8 |