Atkin-Lehner |
2- 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
9328l |
Isogeny class |
Conductor |
9328 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-105070592 = -1 · 214 · 112 · 53 |
Discriminant |
Eigenvalues |
2- -1 0 2 11- 1 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8,496] |
[a1,a2,a3,a4,a6] |
Generators |
[2:22:1] |
Generators of the group modulo torsion |
j |
-15625/25652 |
j-invariant |
L |
3.882270933248 |
L(r)(E,1)/r! |
Ω |
1.517027505972 |
Real period |
R |
0.63978255469413 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1166a1 37312v1 83952m1 102608q1 |
Quadratic twists by: -4 8 -3 -11 |