Atkin-Lehner |
2- 3+ 23- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
78384s |
Isogeny class |
Conductor |
78384 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
6553600 |
Modular degree for the optimal curve |
Δ |
-3.9558978636568E+22 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 4 2 8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4387688,-10200788304] |
[a1,a2,a3,a4,a6] |
Generators |
[102878860:56341805192:343] |
Generators of the group modulo torsion |
j |
-2280715308504796299625/9657953768693403567 |
j-invariant |
L |
6.7370018583084 |
L(r)(E,1)/r! |
Ω |
0.047466416050876 |
Real period |
R |
7.0965984154634 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994373 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4899b1 |
Quadratic twists by: -4 |