Atkin-Lehner |
2+ 3+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
24336b |
Isogeny class |
Conductor |
24336 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-316180239388416 = -1 · 28 · 39 · 137 |
Discriminant |
Eigenvalues |
2+ 3+ -2 2 4 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,13689,593190] |
[a1,a2,a3,a4,a6] |
Generators |
[534:25208:27] |
Generators of the group modulo torsion |
j |
11664/13 |
j-invariant |
L |
5.2207137138618 |
L(r)(E,1)/r! |
Ω |
0.36142038248951 |
Real period |
R |
7.2224948658138 |
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 |
12168a1 97344dv1 24336a1 1872a1 |
Quadratic twists by: -4 8 -3 13 |