Atkin-Lehner |
2- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
96800cl |
Isogeny class |
Conductor |
96800 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
149760 |
Modular degree for the optimal curve |
Δ |
-6235894720000 = -1 · 29 · 54 · 117 |
Discriminant |
Eigenvalues |
2- -2 5- 0 11- -1 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1008,-121112] |
[a1,a2,a3,a4,a6] |
Generators |
[62:242:1] [78:530:1] |
Generators of the group modulo torsion |
j |
-200/11 |
j-invariant |
L |
8.1374125923689 |
L(r)(E,1)/r! |
Ω |
0.3310439428417 |
Real period |
R |
1.0242110310652 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996931 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96800cj1 96800q1 8800l1 |
Quadratic twists by: -4 5 -11 |