Atkin-Lehner |
2- 3+ 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
89280do |
Isogeny class |
Conductor |
89280 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
-2300728081121280 = -1 · 239 · 33 · 5 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 3 4 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-45612,-4402736] |
[a1,a2,a3,a4,a6] |
Generators |
[88690580:839413944:300763] |
Generators of the group modulo torsion |
j |
-1482713947827/325058560 |
j-invariant |
L |
8.5335088161176 |
L(r)(E,1)/r! |
Ω |
0.16145323971166 |
Real period |
R |
13.21359179957 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999998882 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89280v1 22320t1 89280dc2 |
Quadratic twists by: -4 8 -3 |