Atkin-Lehner |
3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
17325ba |
Isogeny class |
Conductor |
17325 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
650090854423828125 = 310 · 510 · 7 · 115 |
Discriminant |
Eigenvalues |
2 3- 5+ 7- 11+ -1 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-195695625,1053706813281] |
[a1,a2,a3,a4,a6] |
Generators |
[96568116903841066:8362060511260874225:19064120082344] |
Generators of the group modulo torsion |
j |
116423188793017446400/91315917 |
j-invariant |
L |
9.9253518180895 |
L(r)(E,1)/r! |
Ω |
0.17906989419108 |
Real period |
R |
27.713625070607 |
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 |
5775v2 17325bl1 121275dk2 |
Quadratic twists by: -3 5 -7 |