Atkin-Lehner |
2- 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
39872bg |
Isogeny class |
Conductor |
39872 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-2675764625408 = -1 · 232 · 7 · 89 |
Discriminant |
Eigenvalues |
2- 0 0 7- -4 2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1900,-84912] |
[a1,a2,a3,a4,a6] |
Generators |
[156:1848:1] [466:363:8] |
Generators of the group modulo torsion |
j |
-2893640625/10207232 |
j-invariant |
L |
8.8689988588598 |
L(r)(E,1)/r! |
Ω |
0.33183754714007 |
Real period |
R |
26.726929894754 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39872d1 9968l1 |
Quadratic twists by: -4 8 |