Atkin-Lehner |
2- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
128800bb |
Isogeny class |
Conductor |
128800 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
84480 |
Modular degree for the optimal curve |
Δ |
-4947980800 = -1 · 29 · 52 · 75 · 23 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 2 1 -7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1608,25592] |
[a1,a2,a3,a4,a6] |
Generators |
[53:294:1] |
Generators of the group modulo torsion |
j |
-35945285000/386561 |
j-invariant |
L |
10.738251219029 |
L(r)(E,1)/r! |
Ω |
1.3727240296107 |
Real period |
R |
1.5645171164635 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015361 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128800g1 128800r1 |
Quadratic twists by: -4 5 |