Atkin-Lehner |
2+ 3+ 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
89280v |
Isogeny class |
Conductor |
89280 |
Conductor |
∏ cp |
8 |
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 |
[4530:32768:27] |
Generators of the group modulo torsion |
j |
-1482713947827/325058560 |
j-invariant |
L |
6.3001968268819 |
L(r)(E,1)/r! |
Ω |
0.4404078694552 |
Real period |
R |
1.7881710505847 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009533 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89280do1 2790q1 89280j2 |
Quadratic twists by: -4 8 -3 |