Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
1710g |
Isogeny class |
Conductor |
1710 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-29550046959360 = -1 · 28 · 311 · 5 · 194 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 0 -6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-17100,-895280] |
[a1,a2,a3,a4,a6] |
Generators |
[323:5054:1] |
Generators of the group modulo torsion |
j |
-758575480593601/40535043840 |
j-invariant |
L |
2.2323440489626 |
L(r)(E,1)/r! |
Ω |
0.20809985080627 |
Real period |
R |
2.6818184159113 |
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 |
13680bd1 54720bx1 570i1 8550bh1 |
Quadratic twists by: -4 8 -3 5 |