Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
1710f |
Isogeny class |
Conductor |
1710 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
384 |
Modular degree for the optimal curve |
Δ |
-2493180 = -1 · 22 · 38 · 5 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 0 6 -8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,0,76] |
[a1,a2,a3,a4,a6] |
Generators |
[2:8:1] |
Generators of the group modulo torsion |
j |
-1/3420 |
j-invariant |
L |
2.0102900544216 |
L(r)(E,1)/r! |
Ω |
2.0462166023707 |
Real period |
R |
0.49122122557615 |
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 |
13680ba1 54720bu1 570h1 8550bc1 |
Quadratic twists by: -4 8 -3 5 |