Atkin-Lehner |
2+ 11- 101- |
Signs for the Atkin-Lehner involutions |
Class |
97768d |
Isogeny class |
Conductor |
97768 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
73382400 |
Modular degree for the optimal curve |
Δ |
-1.3915699095181E+26 |
Discriminant |
Eigenvalues |
2+ 2 -4 5 11- -4 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-344656440,-2527228868404] |
[a1,a2,a3,a4,a6] |
Generators |
[4458599862801311496662996467913273216199018594105106918823368342499715390346813012308881629761320151378966182087650990860981462659124029140223:71091833407202336229918933847343713243978584166775239761874841348417415919664692520466934494292447671051763680941055460672890191385884342154624:206296031075614918458224151558514966516345412040264887033952098516091326217469651785119910404867223888465560306673489684561623474929330267] |
Generators of the group modulo torsion |
j |
-1247949017853525511202/38354733191907341 |
j-invariant |
L |
7.6517648243257 |
L(r)(E,1)/r! |
Ω |
0.017487882942924 |
Real period |
R |
218.77333149184 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8888c1 |
Quadratic twists by: -11 |