Atkin-Lehner |
2- 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
109368bq |
Isogeny class |
Conductor |
109368 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
401408 |
Modular degree for the optimal curve |
Δ |
933837992543232 = 210 · 36 · 79 · 31 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -4 2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-40131,2722734] |
[a1,a2,a3,a4,a6] |
j |
237276/31 |
j-invariant |
L |
1.9138948709692 |
L(r)(E,1)/r! |
Ω |
0.47847365800991 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12152a1 109368bz1 |
Quadratic twists by: -3 -7 |