Atkin-Lehner |
2- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
31850ci |
Isogeny class |
Conductor |
31850 |
Conductor |
∏ cp |
76 |
Product of Tamagawa factors cp |
deg |
1751040 |
Modular degree for the optimal curve |
Δ |
-9.7768073381888E+21 |
Discriminant |
Eigenvalues |
2- 1 5- 7- 1 13+ 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3424513,-5346420983] |
[a1,a2,a3,a4,a6] |
j |
-96643333791265/212739817472 |
j-invariant |
L |
3.9481401037856 |
L(r)(E,1)/r! |
Ω |
0.051949211891909 |
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 |
31850w1 4550z1 |
Quadratic twists by: 5 -7 |