Atkin-Lehner |
3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
17325ba |
Isogeny class |
Conductor |
17325 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
422400 |
Modular degree for the optimal curve |
Δ |
1.17483132186E+19 |
Discriminant |
Eigenvalues |
2 3- 5+ 7- 11+ -1 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-607935,-78046749] |
[a1,a2,a3,a4,a6] |
Generators |
[-4862:65453:8] |
Generators of the group modulo torsion |
j |
1363413585016606720/644626239703677 |
j-invariant |
L |
9.9253518180895 |
L(r)(E,1)/r! |
Ω |
0.17906989419108 |
Real period |
R |
5.5427250141214 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5775v1 17325bl2 121275dk1 |
Quadratic twists by: -3 5 -7 |