Atkin-Lehner |
2- 3+ 23+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
78384l |
Isogeny class |
Conductor |
78384 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
-816797577696509952 = -1 · 230 · 38 · 23 · 712 |
Discriminant |
Eigenvalues |
2- 3+ 4 -4 -6 -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-143576,-48214032] |
[a1,a2,a3,a4,a6] |
j |
-79912062246310489/199413471117312 |
j-invariant |
L |
0.45693134369137 |
L(r)(E,1)/r! |
Ω |
0.11423282876245 |
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 |
9798g1 |
Quadratic twists by: -4 |