Atkin-Lehner |
2- 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
24336bl |
Isogeny class |
Conductor |
24336 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
112896 |
Modular degree for the optimal curve |
Δ |
-23982856676573184 = -1 · 219 · 36 · 137 |
Discriminant |
Eigenvalues |
2- 3- -1 1 2 13+ 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-65403,9846954] |
[a1,a2,a3,a4,a6] |
Generators |
[-65:3718:1] |
Generators of the group modulo torsion |
j |
-2146689/1664 |
j-invariant |
L |
5.5051235381582 |
L(r)(E,1)/r! |
Ω |
0.34801912250077 |
Real period |
R |
1.9773064115701 |
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 |
3042k1 97344es1 2704j1 1872n1 |
Quadratic twists by: -4 8 -3 13 |