Atkin-Lehner |
2- 3- 7+ 17- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
37842t |
Isogeny class |
Conductor |
37842 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
1491840 |
Modular degree for the optimal curve |
Δ |
1865810596256022528 = 228 · 33 · 75 · 172 · 53 |
Discriminant |
Eigenvalues |
2- 3- 4 7+ 4 -6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-408216,-75920832] |
[a1,a2,a3,a4,a6] |
j |
7523048249381318145409/1865810596256022528 |
j-invariant |
L |
8.0768297776279 |
L(r)(E,1)/r! |
Ω |
0.19230547089677 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113526g1 |
Quadratic twists by: -3 |