Atkin-Lehner |
2- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
118336y |
Isogeny class |
Conductor |
118336 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1387008 |
Modular degree for the optimal curve |
Δ |
191499473348214784 = 214 · 438 |
Discriminant |
Eigenvalues |
2- -1 1 -5 0 -3 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-742065,245388049] |
[a1,a2,a3,a4,a6] |
j |
235984 |
j-invariant |
L |
1.2811258729651 |
L(r)(E,1)/r! |
Ω |
0.32028154598514 |
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 |
118336b1 29584a1 118336bf1 |
Quadratic twists by: -4 8 -43 |