Atkin-Lehner |
2- 3+ 7+ 17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
37842m |
Isogeny class |
Conductor |
37842 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
4368 |
Modular degree for the optimal curve |
Δ |
-340578 = -1 · 2 · 33 · 7 · 17 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 1 -1 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-18,33] |
[a1,a2,a3,a4,a6] |
j |
-647214625/340578 |
j-invariant |
L |
2.8259027855769 |
L(r)(E,1)/r! |
Ω |
2.8259027855936 |
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 |
113526j1 |
Quadratic twists by: -3 |