Atkin-Lehner |
2- 3- 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
5310r |
Isogeny class |
Conductor |
5310 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
-2378336256000 = -1 · 214 · 39 · 53 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 2 1 -7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-302,74301] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:279:1] |
Generators of the group modulo torsion |
j |
-4165509529/3262464000 |
j-invariant |
L |
5.8921057806095 |
L(r)(E,1)/r! |
Ω |
0.66028170242664 |
Real period |
R |
0.053116810732477 |
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 |
42480br1 1770a1 26550r1 |
Quadratic twists by: -4 -3 5 |