Atkin-Lehner |
2- 7- 17- 43- |
Signs for the Atkin-Lehner involutions |
Class |
81872bl |
Isogeny class |
Conductor |
81872 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
70656 |
Modular degree for the optimal curve |
Δ |
-61284794368 = -1 · 214 · 7 · 172 · 432 |
Discriminant |
Eigenvalues |
2- 2 -2 7- 4 0 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,216,-11920] |
[a1,a2,a3,a4,a6] |
Generators |
[687:2618:27] |
Generators of the group modulo torsion |
j |
270840023/14962108 |
j-invariant |
L |
9.5778515440419 |
L(r)(E,1)/r! |
Ω |
0.52983590368437 |
Real period |
R |
4.5192537335998 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000374 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10234d1 |
Quadratic twists by: -4 |