Atkin-Lehner |
2- 3- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
62436t |
Isogeny class |
Conductor |
62436 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
139968 |
Modular degree for the optimal curve |
Δ |
-1127336424192 = -1 · 28 · 39 · 112 · 432 |
Discriminant |
Eigenvalues |
2- 3- 2 3 11- 2 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12437,532167] |
[a1,a2,a3,a4,a6] |
Generators |
[34:387:1] |
Generators of the group modulo torsion |
j |
-6868789362688/36393867 |
j-invariant |
L |
10.069453745796 |
L(r)(E,1)/r! |
Ω |
0.87407558214852 |
Real period |
R |
0.64000654909896 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000109 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62436l1 |
Quadratic twists by: -11 |