Atkin-Lehner |
2- 3+ 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
17040n |
Isogeny class |
Conductor |
17040 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
4722288866463744000 = 215 · 32 · 53 · 716 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -6 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-648696,-171567504] |
[a1,a2,a3,a4,a6] |
Generators |
[-595:1846:1] |
Generators of the group modulo torsion |
j |
7370349688815502969/1152902555289000 |
j-invariant |
L |
3.0047697263106 |
L(r)(E,1)/r! |
Ω |
0.16999733996169 |
Real period |
R |
2.9458987681687 |
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 |
2130d4 68160dq4 51120bm4 85200df4 |
Quadratic twists by: -4 8 -3 5 |