Atkin-Lehner |
2- 3- 19- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
121752bi |
Isogeny class |
Conductor |
121752 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
192248112528 = 24 · 39 · 193 · 89 |
Discriminant |
Eigenvalues |
2- 3- 4 2 6 1 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3603,-80525] |
[a1,a2,a3,a4,a6] |
j |
443474841856/16482177 |
j-invariant |
L |
7.4115123377206 |
L(r)(E,1)/r! |
Ω |
0.61762600439814 |
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 |
40584l1 |
Quadratic twists by: -3 |