Atkin-Lehner |
2- 7- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
6118l |
Isogeny class |
Conductor |
6118 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
3168 |
Modular degree for the optimal curve |
Δ |
-801898496 = -1 · 218 · 7 · 19 · 23 |
Discriminant |
Eigenvalues |
2- 1 -3 7- 0 5 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-657,6569] |
[a1,a2,a3,a4,a6] |
j |
-31366144171153/801898496 |
j-invariant |
L |
3.174806342715 |
L(r)(E,1)/r! |
Ω |
1.5874031713575 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
48944n1 55062v1 42826m1 116242j1 |
Quadratic twists by: -4 -3 -7 -19 |