Atkin-Lehner |
2- 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
12480cc |
Isogeny class |
Conductor |
12480 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-8.348125128764E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5969185,-7127796863] |
[a1,a2,a3,a4,a6] |
Generators |
[581324641315447133548828380822:48114066492213713687857466151431:75094129859265098897724856] |
Generators of the group modulo torsion |
j |
-717825640026599866952/254764560814329735 |
j-invariant |
L |
3.9054187627702 |
L(r)(E,1)/r! |
Ω |
0.047447684545744 |
Real period |
R |
41.154998396233 |
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 |
12480cu4 6240l4 37440dr3 62400ha3 |
Quadratic twists by: -4 8 -3 5 |