Atkin-Lehner |
2- 3+ 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
89280de |
Isogeny class |
Conductor |
89280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1097072640000000000 = 227 · 33 · 510 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -2 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16240428,-25190886448] |
[a1,a2,a3,a4,a6] |
Generators |
[11211775037480537449221680:16749074307307425078166163932:5023889627392102375] |
Generators of the group modulo torsion |
j |
66928707375050045043/155000000000 |
j-invariant |
L |
6.4125302457475 |
L(r)(E,1)/r! |
Ω |
0.075205611593141 |
Real period |
R |
42.6333229319 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999923037 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89280a2 22320ba2 89280dq2 |
Quadratic twists by: -4 8 -3 |