Atkin-Lehner |
2- 5+ 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
39950n |
Isogeny class |
Conductor |
39950 |
Conductor |
∏ cp |
23 |
Product of Tamagawa factors cp |
deg |
1159200 |
Modular degree for the optimal curve |
Δ |
-1.891622912E+19 |
Discriminant |
Eigenvalues |
2- 1 5+ -2 4 2 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2503763,1538970017] |
[a1,a2,a3,a4,a6] |
j |
-177747430505839225/1937021861888 |
j-invariant |
L |
5.0205823411802 |
L(r)(E,1)/r! |
Ω |
0.21828618874708 |
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 |
39950m1 |
Quadratic twists by: 5 |