Atkin-Lehner |
2+ 3+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
5088b |
Isogeny class |
Conductor |
5088 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-115369463808 = -1 · 212 · 312 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -4 0 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-689,-17535] |
[a1,a2,a3,a4,a6] |
j |
-8844058432/28166373 |
j-invariant |
L |
0.42951673969382 |
L(r)(E,1)/r! |
Ω |
0.42951673969382 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5088f4 10176f1 15264n4 127200dd2 |
Quadratic twists by: -4 8 -3 5 |