Atkin-Lehner |
3+ 5+ 7- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
23205c |
Isogeny class |
Conductor |
23205 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-636324609375 = -1 · 34 · 58 · 7 · 132 · 17 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- 0 13- 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1456,43328] |
[a1,a2,a3,a4,a6] |
Generators |
[32:159:1] |
Generators of the group modulo torsion |
j |
-341370886042369/636324609375 |
j-invariant |
L |
2.6341108163709 |
L(r)(E,1)/r! |
Ω |
0.81376350438733 |
Real period |
R |
1.6184744106668 |
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 |
69615x1 116025ba1 |
Quadratic twists by: -3 5 |