Atkin-Lehner |
2+ 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
48960bs |
Isogeny class |
Conductor |
48960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-86294937600 = -1 · 214 · 36 · 52 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 2 6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-828,-16848] |
[a1,a2,a3,a4,a6] |
j |
-5256144/7225 |
j-invariant |
L |
1.6946461130056 |
L(r)(E,1)/r! |
Ω |
0.42366152836497 |
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 |
48960ek2 3060l2 5440i2 |
Quadratic twists by: -4 8 -3 |