Atkin-Lehner |
2- 3+ 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
83952i |
Isogeny class |
Conductor |
83952 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
870912 |
Modular degree for the optimal curve |
Δ |
40814605592690688 = 226 · 39 · 11 · 532 |
Discriminant |
Eigenvalues |
2- 3+ 2 -4 11+ 0 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-259659,49991418] |
[a1,a2,a3,a4,a6] |
Generators |
[83847:4613120:27] |
Generators of the group modulo torsion |
j |
24015001179051/506249216 |
j-invariant |
L |
6.4462472028388 |
L(r)(E,1)/r! |
Ω |
0.36235566381397 |
Real period |
R |
4.4474585648772 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000921 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10494c1 83952j1 |
Quadratic twists by: -4 -3 |