Atkin-Lehner |
2+ 7- 17- 73- |
Signs for the Atkin-Lehner involutions |
Class |
121618i |
Isogeny class |
Conductor |
121618 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
56832 |
Modular degree for the optimal curve |
Δ |
-71024912 = -1 · 24 · 72 · 17 · 732 |
Discriminant |
Eigenvalues |
2+ 1 0 7- 5 -1 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1216,-16418] |
[a1,a2,a3,a4,a6] |
j |
-4053356967625/1449488 |
j-invariant |
L |
1.6170737921925 |
L(r)(E,1)/r! |
Ω |
0.40426825618766 |
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 |
121618a1 |
Quadratic twists by: -7 |