Atkin-Lehner |
2- 3- 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
53550dp |
Isogeny class |
Conductor |
53550 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2232599337281250 = -1 · 2 · 36 · 56 · 78 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,29545,1153297] |
[a1,a2,a3,a4,a6] |
j |
250404380127/196003234 |
j-invariant |
L |
4.7483533962569 |
L(r)(E,1)/r! |
Ω |
0.29677208730059 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5950a4 2142h4 |
Quadratic twists by: -3 5 |