Atkin-Lehner |
2+ 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
13950z |
Isogeny class |
Conductor |
13950 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
-1.6813656E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 4 4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,503433,-608650659] |
[a1,a2,a3,a4,a6] |
Generators |
[3189:181218:1] |
Generators of the group modulo torsion |
j |
1238798620042199/14760960000000 |
j-invariant |
L |
3.4617676564434 |
L(r)(E,1)/r! |
Ω |
0.089036834677811 |
Real period |
R |
2.4300108972948 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111600dx1 4650bn1 2790w1 |
Quadratic twists by: -4 -3 5 |