Atkin-Lehner |
2+ 3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
48510h |
Isogeny class |
Conductor |
48510 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-480449103750 = -1 · 2 · 33 · 54 · 76 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 11+ 0 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,726,-32670] |
[a1,a2,a3,a4,a6] |
Generators |
[51:-393:1] |
Generators of the group modulo torsion |
j |
13312053/151250 |
j-invariant |
L |
4.4296311876771 |
L(r)(E,1)/r! |
Ω |
0.4592522096147 |
Real period |
R |
0.60283204616875 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48510cc2 990a2 |
Quadratic twists by: -3 -7 |