Atkin-Lehner |
2- 3+ 5- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
54390bv |
Isogeny class |
Conductor |
54390 |
Conductor |
∏ cp |
38 |
Product of Tamagawa factors cp |
deg |
727776 |
Modular degree for the optimal curve |
Δ |
-75484839267532800 = -1 · 219 · 33 · 52 · 78 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -3 6 -2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-164690,-28990753] |
[a1,a2,a3,a4,a6] |
j |
-85692190673761/13094092800 |
j-invariant |
L |
4.4652100027926 |
L(r)(E,1)/r! |
Ω |
0.11750552640563 |
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 |
54390cu1 |
Quadratic twists by: -7 |