Atkin-Lehner |
2- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
16900r |
Isogeny class |
Conductor |
16900 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
-10039762720000 = -1 · 28 · 54 · 137 |
Discriminant |
Eigenvalues |
2- 0 5- 3 -3 13+ -1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4225,-109850] |
[a1,a2,a3,a4,a6] |
Generators |
[39:338:1] |
Generators of the group modulo torsion |
j |
10800/13 |
j-invariant |
L |
4.9093967304189 |
L(r)(E,1)/r! |
Ω |
0.38885310517218 |
Real period |
R |
0.35070346510449 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67600cw1 16900b1 1300f1 |
Quadratic twists by: -4 5 13 |