Atkin-Lehner |
3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
17325c |
Isogeny class |
Conductor |
17325 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
12506484375 = 33 · 57 · 72 · 112 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- 11+ -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1880,31372] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:160:1] [-11:230:1] |
Generators of the group modulo torsion |
j |
1740992427/29645 |
j-invariant |
L |
4.7871203588105 |
L(r)(E,1)/r! |
Ω |
1.2669774942851 |
Real period |
R |
0.47229729616386 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17325d2 3465a2 121275v2 |
Quadratic twists by: -3 5 -7 |