Atkin-Lehner |
2- 3+ 5- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
52440p |
Isogeny class |
Conductor |
52440 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
22848 |
Modular degree for the optimal curve |
Δ |
-76457520 = -1 · 24 · 37 · 5 · 19 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 3 5 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-575,5520] |
[a1,a2,a3,a4,a6] |
j |
-1316322605056/4778595 |
j-invariant |
L |
3.8867658916016 |
L(r)(E,1)/r! |
Ω |
1.9433829456276 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104880t1 |
Quadratic twists by: -4 |