Atkin-Lehner |
2+ 3+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
52416g |
Isogeny class |
Conductor |
52416 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-166906801152 = -1 · 210 · 39 · 72 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ -2 13+ 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1296,-7992] |
[a1,a2,a3,a4,a6] |
Generators |
[249:3969:1] |
Generators of the group modulo torsion |
j |
11943936/8281 |
j-invariant |
L |
6.8360605586246 |
L(r)(E,1)/r! |
Ω |
0.57629646352564 |
Real period |
R |
2.9655138419542 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52416ei1 3276b1 52416i1 |
Quadratic twists by: -4 8 -3 |