Atkin-Lehner |
2- 3+ 5- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
50160bq |
Isogeny class |
Conductor |
50160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
192614400 = 212 · 32 · 52 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11- -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15680,-750528] |
[a1,a2,a3,a4,a6] |
Generators |
[184:1600:1] |
Generators of the group modulo torsion |
j |
104094944089921/47025 |
j-invariant |
L |
5.7238255536728 |
L(r)(E,1)/r! |
Ω |
0.42663918767468 |
Real period |
R |
3.3540200472693 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000046 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3135e1 |
Quadratic twists by: -4 |