Atkin-Lehner |
2- 3- 7- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
111384co |
Isogeny class |
Conductor |
111384 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
819840 |
Modular degree for the optimal curve |
Δ |
-189520777565263872 = -1 · 211 · 36 · 7 · 137 · 172 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -3 13- 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7419,20946742] |
[a1,a2,a3,a4,a6] |
j |
-30248395634/126940249891 |
j-invariant |
L |
3.5825874992731 |
L(r)(E,1)/r! |
Ω |
0.25589913548319 |
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 |
12376f1 |
Quadratic twists by: -3 |