Atkin-Lehner |
2- 3- 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
89280fe |
Isogeny class |
Conductor |
89280 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
-24792744591360 = -1 · 218 · 39 · 5 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 4 0 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4332,263504] |
[a1,a2,a3,a4,a6] |
j |
-47045881/129735 |
j-invariant |
L |
2.3703431849331 |
L(r)(E,1)/r! |
Ω |
0.59258584622839 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89280cv1 22320bh1 29760bp1 |
Quadratic twists by: -4 8 -3 |