Atkin-Lehner |
2- 3+ 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
5310j |
Isogeny class |
Conductor |
5310 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
260997120000 = 218 · 33 · 54 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -4 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1793,-15343] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:108:1] |
Generators of the group modulo torsion |
j |
23597919687987/9666560000 |
j-invariant |
L |
5.3564548272644 |
L(r)(E,1)/r! |
Ω |
0.7605437718384 |
Real period |
R |
0.39127376326755 |
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 |
42480o1 5310b1 26550d1 |
Quadratic twists by: -4 -3 5 |