Atkin-Lehner |
2- 3- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
31434z |
Isogeny class |
Conductor |
31434 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
542880 |
Modular degree for the optimal curve |
Δ |
-30328189518820128 = -1 · 25 · 3 · 139 · 313 |
Discriminant |
Eigenvalues |
2- 3- -4 -1 -6 13- 5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,65315,-5372719] |
[a1,a2,a3,a4,a6] |
j |
2905841483/2859936 |
j-invariant |
L |
2.0241294474634 |
L(r)(E,1)/r! |
Ω |
0.20241294474661 |
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 |
94302be1 31434l1 |
Quadratic twists by: -3 13 |