Atkin-Lehner |
2- 3+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
1722i |
Isogeny class |
Conductor |
1722 |
Conductor |
∏ cp |
11 |
Product of Tamagawa factors cp |
deg |
8712 |
Modular degree for the optimal curve |
Δ |
-175030351276032 = -1 · 211 · 311 · 7 · 413 |
Discriminant |
Eigenvalues |
2- 3+ 4 7+ -1 0 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,4929,-620379] |
[a1,a2,a3,a4,a6] |
j |
13243252505373071/175030351276032 |
j-invariant |
L |
3.0795647899637 |
L(r)(E,1)/r! |
Ω |
0.27996043545125 |
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 |
13776v1 55104w1 5166o1 43050p1 |
Quadratic twists by: -4 8 -3 5 |