Atkin-Lehner |
2+ 3+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
7488d |
Isogeny class |
Conductor |
7488 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-18690048 = -1 · 212 · 33 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 -2 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-36,-224] |
[a1,a2,a3,a4,a6] |
Generators |
[20:84:1] |
Generators of the group modulo torsion |
j |
-46656/169 |
j-invariant |
L |
3.4855653075316 |
L(r)(E,1)/r! |
Ω |
0.89334035965965 |
Real period |
R |
1.9508607608748 |
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 |
7488c2 3744a1 7488a2 97344f2 |
Quadratic twists by: -4 8 -3 13 |