Atkin-Lehner |
2- 7- 17+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
121618l |
Isogeny class |
Conductor |
121618 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
1071840 |
Modular degree for the optimal curve |
Δ |
-12204810912057344 = -1 · 211 · 710 · 172 · 73 |
Discriminant |
Eigenvalues |
2- 1 3 7- -2 -7 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,38366,-4456124] |
[a1,a2,a3,a4,a6] |
j |
22109665487/43206656 |
j-invariant |
L |
4.6040548348169 |
L(r)(E,1)/r! |
Ω |
0.20927524433946 |
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 |
121618k1 |
Quadratic twists by: -7 |