Atkin-Lehner |
2- 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
25872by |
Isogeny class |
Conductor |
25872 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
254438080512 = 216 · 3 · 76 · 11 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 11- 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1584,960] |
[a1,a2,a3,a4,a6] |
j |
912673/528 |
j-invariant |
L |
1.6663584752084 |
L(r)(E,1)/r! |
Ω |
0.83317923760424 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3234t1 103488ht1 77616fh1 528j1 |
Quadratic twists by: -4 8 -3 -7 |