Atkin-Lehner |
2+ 3+ 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
49632a |
Isogeny class |
Conductor |
49632 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2394362032128 = 212 · 37 · 112 · 472 |
Discriminant |
Eigenvalues |
2+ 3+ 0 2 11- -6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12353,-519087] |
[a1,a2,a3,a4,a6] |
Generators |
[129:132:1] |
Generators of the group modulo torsion |
j |
50899819816000/584561043 |
j-invariant |
L |
5.1645224262479 |
L(r)(E,1)/r! |
Ω |
0.4531635544554 |
Real period |
R |
2.8491492616068 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999864 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49632b2 99264cc1 |
Quadratic twists by: -4 8 |