Atkin-Lehner |
3+ 5+ 7- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
23205c |
Isogeny class |
Conductor |
23205 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2497176062929275 = 3 · 52 · 74 · 138 · 17 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- 0 13- 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-35956,1036778] |
[a1,a2,a3,a4,a6] |
Generators |
[-44:1614:1] |
Generators of the group modulo torsion |
j |
5140893207488770369/2497176062929275 |
j-invariant |
L |
2.6341108163709 |
L(r)(E,1)/r! |
Ω |
0.40688175219367 |
Real period |
R |
0.4046186026667 |
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 |
69615x3 116025ba3 |
Quadratic twists by: -3 5 |