Atkin-Lehner |
2- 3- 7- 17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
37842u |
Isogeny class |
Conductor |
37842 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
deg |
58752 |
Modular degree for the optimal curve |
Δ |
581020618752 = 212 · 33 · 73 · 172 · 53 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-9863,374409] |
[a1,a2,a3,a4,a6] |
j |
106109327858640625/581020618752 |
j-invariant |
L |
5.5423690155305 |
L(r)(E,1)/r! |
Ω |
0.92372816925397 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
113526q1 |
Quadratic twists by: -3 |