Atkin-Lehner |
2- 3- 19- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
121752bg |
Isogeny class |
Conductor |
121752 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-12654825202224 = -1 · 24 · 310 · 19 · 893 |
Discriminant |
Eigenvalues |
2- 3- -1 -2 1 -1 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4278,-202219] |
[a1,a2,a3,a4,a6] |
j |
-742332614656/1084947291 |
j-invariant |
L |
2.2435300922112 |
L(r)(E,1)/r! |
Ω |
0.28044131418974 |
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 |
40584c1 |
Quadratic twists by: -3 |