Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
1710n |
Isogeny class |
Conductor |
1710 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1024 |
Modular degree for the optimal curve |
Δ |
-159563520 = -1 · 28 · 38 · 5 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 4 -6 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,112,371] |
[a1,a2,a3,a4,a6] |
Generators |
[3:25:1] |
Generators of the group modulo torsion |
j |
214921799/218880 |
j-invariant |
L |
3.6862290672039 |
L(r)(E,1)/r! |
Ω |
1.2008857915947 |
Real period |
R |
0.38369896340316 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13680bf1 54720cp1 570e1 8550g1 |
Quadratic twists by: -4 8 -3 5 |