Atkin-Lehner |
2- 5+ 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
5270d |
Isogeny class |
Conductor |
5270 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8480 |
Modular degree for the optimal curve |
Δ |
-3521245360 = -1 · 24 · 5 · 175 · 31 |
Discriminant |
Eigenvalues |
2- 2 5+ 5 -3 5 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2661,51803] |
[a1,a2,a3,a4,a6] |
j |
-2083859989441489/3521245360 |
j-invariant |
L |
5.6243149151453 |
L(r)(E,1)/r! |
Ω |
1.4060787287863 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42160o1 47430s1 26350b1 89590o1 |
Quadratic twists by: -4 -3 5 17 |