Atkin-Lehner |
2- 3+ 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
17040n |
Isogeny class |
Conductor |
17040 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-15455154585600 = -1 · 214 · 312 · 52 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -6 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-38856,-2941200] |
[a1,a2,a3,a4,a6] |
Generators |
[356:5312:1] |
Generators of the group modulo torsion |
j |
-1583978245048009/3773231100 |
j-invariant |
L |
3.0047697263106 |
L(r)(E,1)/r! |
Ω |
0.16999733996169 |
Real period |
R |
4.4188481522531 |
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 |
2130d1 68160dq1 51120bm1 85200df1 |
Quadratic twists by: -4 8 -3 5 |