Atkin-Lehner |
3+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
63525ba |
Isogeny class |
Conductor |
63525 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
519017592800235375 = 33 · 53 · 72 · 1112 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7+ 11- 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-204553,-8243344] |
[a1,a2,a3,a4,a6] |
Generators |
[-370:8651:8] |
Generators of the group modulo torsion |
j |
4274401176989/2343775203 |
j-invariant |
L |
3.1842695630754 |
L(r)(E,1)/r! |
Ω |
0.23991501465963 |
Real period |
R |
3.3181224273273 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996757 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63525cm2 5775m2 |
Quadratic twists by: 5 -11 |