Atkin-Lehner |
2+ 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
9296a |
Isogeny class |
Conductor |
9296 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
-1189888 = -1 · 211 · 7 · 83 |
Discriminant |
Eigenvalues |
2+ -2 -2 7- -1 -2 -2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,16,52] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:4:1] [-1:6:1] |
Generators of the group modulo torsion |
j |
207646/581 |
j-invariant |
L |
4.106045203143 |
L(r)(E,1)/r! |
Ω |
1.9226131206514 |
Real period |
R |
0.53391464448041 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4648a1 37184h1 83664w1 65072h1 |
Quadratic twists by: -4 8 -3 -7 |