Atkin-Lehner |
2+ 5- 61- |
Signs for the Atkin-Lehner involutions |
Class |
97600bj |
Isogeny class |
Conductor |
97600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
7803502592000000000 = 230 · 59 · 612 |
Discriminant |
Eigenvalues |
2+ 2 5- 4 4 -4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-174772833,-889263666463] |
[a1,a2,a3,a4,a6] |
Generators |
[-607471711325527259687745371436750255299281033269118796839627034717947395680076696217907512834776:7883428300385680107612319709158225812736132442838664542533922819718746240926822744328265626523:79590586467319663255217125319544204766645041637024057868508957382773853985808493828338996279] |
Generators of the group modulo torsion |
j |
1153122726940210853/15241216 |
j-invariant |
L |
12.144081443926 |
L(r)(E,1)/r! |
Ω |
0.041522268582379 |
Real period |
R |
146.23576527175 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97600cx2 3050c2 97600bo2 |
Quadratic twists by: -4 8 5 |