Atkin-Lehner |
3+ 7- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
55419b |
Isogeny class |
Conductor |
55419 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
6563767006251 = 36 · 77 · 13 · 292 |
Discriminant |
Eigenvalues |
-1 3+ 2 7- -4 13- 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-22982,-1344904] |
[a1,a2,a3,a4,a6] |
Generators |
[-90:112:1] |
Generators of the group modulo torsion |
j |
11410380159697/55791099 |
j-invariant |
L |
3.5003570926867 |
L(r)(E,1)/r! |
Ω |
0.38786474524728 |
Real period |
R |
2.2561712139363 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000503 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7917c2 |
Quadratic twists by: -7 |