Atkin-Lehner |
2+ 3- 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
48312h |
Isogeny class |
Conductor |
48312 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3.1015328909768E+28 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11+ -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-816683619,2983676617838] |
[a1,a2,a3,a4,a6] |
Generators |
[3231872218120954782018660378989357498830:-849351673628998643611894802429516723925419:40944018077968432727968050137867000] |
Generators of the group modulo torsion |
j |
80697069006518105560750468/41547883591831538692683 |
j-invariant |
L |
6.9154246752057 |
L(r)(E,1)/r! |
Ω |
0.032689813144088 |
Real period |
R |
52.886694738148 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000017 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96624p3 16104g4 |
Quadratic twists by: -4 -3 |