Atkin-Lehner |
2- 37+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
3922b |
Isogeny class |
Conductor |
3922 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
40400 |
Modular degree for the optimal curve |
Δ |
-18320308157344 = -1 · 25 · 372 · 535 |
Discriminant |
Eigenvalues |
2- 2 3 4 -5 -2 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-206274,35973743] |
[a1,a2,a3,a4,a6] |
j |
-970638056074980108577/18320308157344 |
j-invariant |
L |
6.3412278754441 |
L(r)(E,1)/r! |
Ω |
0.63412278754441 |
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 |
31376b1 125504d1 35298c1 98050c1 |
Quadratic twists by: -4 8 -3 5 |