Atkin-Lehner |
2+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
20800m |
Isogeny class |
Conductor |
20800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-182790400000000 = -1 · 214 · 58 · 134 |
Discriminant |
Eigenvalues |
2+ 2 5+ -2 -4 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-27633,1893137] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:1500:1] |
Generators of the group modulo torsion |
j |
-9115564624/714025 |
j-invariant |
L |
6.4329121493875 |
L(r)(E,1)/r! |
Ω |
0.55795833072164 |
Real period |
R |
2.8823443414974 |
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 |
20800cp2 1300d2 4160h2 |
Quadratic twists by: -4 8 5 |