Atkin-Lehner |
2- 3- 7+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
81984ck |
Isogeny class |
Conductor |
81984 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
-44983290691584 = -1 · 220 · 33 · 7 · 613 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ 6 4 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11809,586079] |
[a1,a2,a3,a4,a6] |
Generators |
[65:312:1] |
Generators of the group modulo torsion |
j |
-694800198793/171597636 |
j-invariant |
L |
11.363031748813 |
L(r)(E,1)/r! |
Ω |
0.60918395206091 |
Real period |
R |
3.1088124010241 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000688 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81984o1 20496m1 |
Quadratic twists by: -4 8 |