Atkin-Lehner |
2- 3+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
1722h |
Isogeny class |
Conductor |
1722 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1440 |
Modular degree for the optimal curve |
Δ |
-55601051856 = -1 · 24 · 3 · 75 · 413 |
Discriminant |
Eigenvalues |
2- 3+ 1 7+ 2 3 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,920,-3271] |
[a1,a2,a3,a4,a6] |
j |
86110813111679/55601051856 |
j-invariant |
L |
2.556560092286 |
L(r)(E,1)/r! |
Ω |
0.63914002307151 |
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 |
13776s1 55104s1 5166m1 43050q1 |
Quadratic twists by: -4 8 -3 5 |