Atkin-Lehner |
2+ 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
39872u |
Isogeny class |
Conductor |
39872 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
89088 |
Modular degree for the optimal curve |
Δ |
-27732059242496 = -1 · 214 · 74 · 893 |
Discriminant |
Eigenvalues |
2+ -1 -3 7- 0 4 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1423,252049] |
[a1,a2,a3,a4,a6] |
Generators |
[179:2492:1] |
Generators of the group modulo torsion |
j |
19436284208/1692630569 |
j-invariant |
L |
3.3623485286202 |
L(r)(E,1)/r! |
Ω |
0.50957199600218 |
Real period |
R |
0.27493240691878 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999921 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39872z1 2492c1 |
Quadratic twists by: -4 8 |