Atkin-Lehner |
2+ 3- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
52416bt |
Isogeny class |
Conductor |
52416 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
346652587008 = 210 · 312 · 72 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 2 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7320,-239384] |
[a1,a2,a3,a4,a6] |
Generators |
[254:3780:1] |
Generators of the group modulo torsion |
j |
58107136000/464373 |
j-invariant |
L |
6.0936680514198 |
L(r)(E,1)/r! |
Ω |
0.51639388427457 |
Real period |
R |
2.950106612895 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999987 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52416gi1 6552s1 17472y1 |
Quadratic twists by: -4 8 -3 |