Atkin-Lehner |
2- 3- 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
3486k |
Isogeny class |
Conductor |
3486 |
Conductor |
∏ cp |
392 |
Product of Tamagawa factors cp |
deg |
2709504 |
Modular degree for the optimal curve |
Δ |
-1.6193301210419E+27 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ 3 2 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2099919255,-37089124766487] |
[a1,a2,a3,a4,a6] |
j |
-1024074375966668466862743896129521/1619330121041898938277298176 |
j-invariant |
L |
4.370828983355 |
L(r)(E,1)/r! |
Ω |
0.01115007393713 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27888u1 111552a1 10458d1 87150n1 |
Quadratic twists by: -4 8 -3 5 |