Atkin-Lehner |
2- 3+ 5+ 19- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
17670n |
Isogeny class |
Conductor |
17670 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
163840 |
Modular degree for the optimal curve |
Δ |
-3007453224960000 = -1 · 216 · 38 · 54 · 192 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 -6 4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-36296,-3762871] |
[a1,a2,a3,a4,a6] |
Generators |
[381:5965:1] |
Generators of the group modulo torsion |
j |
-5288113387914035329/3007453224960000 |
j-invariant |
L |
4.6139912519682 |
L(r)(E,1)/r! |
Ω |
0.16851269504746 |
Real period |
R |
0.85564607807977 |
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 |
53010bb1 88350bg1 |
Quadratic twists by: -3 5 |