Atkin-Lehner |
2- 3+ 7+ 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
96642be |
Isogeny class |
Conductor |
96642 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
-795556944 = -1 · 24 · 33 · 74 · 13 · 59 |
Discriminant |
Eigenvalues |
2- 3+ -1 7+ -5 13+ 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-20543,-1128137] |
[a1,a2,a3,a4,a6] |
Generators |
[181:938:1] |
Generators of the group modulo torsion |
j |
-35508450959787987/29465072 |
j-invariant |
L |
8.1637847095088 |
L(r)(E,1)/r! |
Ω |
0.19939084895694 |
Real period |
R |
2.558976738482 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999471 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96642a1 |
Quadratic twists by: -3 |