Atkin-Lehner |
2+ 3- 7- 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
96642ba |
Isogeny class |
Conductor |
96642 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
-16110028116 = -1 · 22 · 37 · 74 · 13 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- -3 13- -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,531,-4023] |
[a1,a2,a3,a4,a6] |
Generators |
[12:-69:1] |
Generators of the group modulo torsion |
j |
22689222191/22098804 |
j-invariant |
L |
4.3919303367166 |
L(r)(E,1)/r! |
Ω |
0.67531417174553 |
Real period |
R |
0.20323551390648 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020355 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32214bf1 |
Quadratic twists by: -3 |