Atkin-Lehner |
2- 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
24336bk |
Isogeny class |
Conductor |
24336 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
119808 |
Modular degree for the optimal curve |
Δ |
-9743035524857856 = -1 · 214 · 36 · 138 |
Discriminant |
Eigenvalues |
2- 3- 1 -4 4 13+ -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,19773,4626882] |
[a1,a2,a3,a4,a6] |
Generators |
[207:4194:1] |
Generators of the group modulo torsion |
j |
351/4 |
j-invariant |
L |
4.9597059245051 |
L(r)(E,1)/r! |
Ω |
0.30119968598413 |
Real period |
R |
4.1166260750737 |
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 |
3042b1 97344ez1 2704e1 24336bo1 |
Quadratic twists by: -4 8 -3 13 |