Atkin-Lehner |
2+ 3+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
55488u |
Isogeny class |
Conductor |
55488 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-394989039060516864 = -1 · 221 · 33 · 178 |
Discriminant |
Eigenvalues |
2+ 3+ 3 -4 -3 -2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2406773889,-45445761389439] |
[a1,a2,a3,a4,a6] |
j |
-843137281012581793/216 |
j-invariant |
L |
0.19399173845132 |
L(r)(E,1)/r! |
Ω |
0.01077731895988 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55488ei2 1734l2 55488bs2 |
Quadratic twists by: -4 8 17 |