Atkin-Lehner |
2- 3- 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
5310l |
Isogeny class |
Conductor |
5310 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-8602200 = -1 · 23 · 36 · 52 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 5 -7 -1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,7,-143] |
[a1,a2,a3,a4,a6] |
Generators |
[13:38:1] |
Generators of the group modulo torsion |
j |
59319/11800 |
j-invariant |
L |
5.5640459032339 |
L(r)(E,1)/r! |
Ω |
1.0938778762768 |
Real period |
R |
0.42387774905397 |
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 |
42480bq1 590c1 26550k1 |
Quadratic twists by: -4 -3 5 |