Atkin-Lehner |
2- 3- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
8784s |
Isogeny class |
Conductor |
8784 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-6249851136 = -1 · 28 · 38 · 612 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 2 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,249,3490] |
[a1,a2,a3,a4,a6] |
Generators |
[82:675:8] |
Generators of the group modulo torsion |
j |
9148592/33489 |
j-invariant |
L |
3.4678355820176 |
L(r)(E,1)/r! |
Ω |
0.9525672190608 |
Real period |
R |
3.6405153490761 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2196d2 35136cn2 2928m2 |
Quadratic twists by: -4 8 -3 |