Atkin-Lehner |
2- 3- 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
83952l |
Isogeny class |
Conductor |
83952 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-92263919616 = -1 · 212 · 36 · 11 · 532 |
Discriminant |
Eigenvalues |
2- 3- -3 0 11+ 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,816,-11536] |
[a1,a2,a3,a4,a6] |
Generators |
[1186:14681:8] |
Generators of the group modulo torsion |
j |
20123648/30899 |
j-invariant |
L |
5.0983487690308 |
L(r)(E,1)/r! |
Ω |
0.56624166318878 |
Real period |
R |
4.5019195031962 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999901284 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5247c1 9328n1 |
Quadratic twists by: -4 -3 |