Atkin-Lehner |
2+ 3+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
7872b |
Isogeny class |
Conductor |
7872 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1.5930438059437E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 2 2 -4 -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-29008417,-60432106847] |
[a1,a2,a3,a4,a6] |
Generators |
[13517097554369852680193804661126672169149944:-118599654275286079579879771527420087031161555:2160201636453480799485190498400659481153] |
Generators of the group modulo torsion |
j |
-10298071306410575356297/60769798505543808 |
j-invariant |
L |
4.0926314938532 |
L(r)(E,1)/r! |
Ω |
0.032515119386638 |
Real period |
R |
62.934283666433 |
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 |
7872bc2 246c2 23616r2 |
Quadratic twists by: -4 8 -3 |