Atkin-Lehner |
2- 3+ 5- 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
16530v |
Isogeny class |
Conductor |
16530 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-642686400 = -1 · 26 · 36 · 52 · 19 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -6 0 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,215,215] |
[a1,a2,a3,a4,a6] |
Generators |
[3:28:1] |
Generators of the group modulo torsion |
j |
1098785291759/642686400 |
j-invariant |
L |
6.3853915662658 |
L(r)(E,1)/r! |
Ω |
0.9808652200374 |
Real period |
R |
1.0849930306127 |
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 |
49590o1 82650o1 |
Quadratic twists by: -3 5 |