Atkin-Lehner |
2+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
128018f |
Isogeny class |
Conductor |
128018 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
36564480 |
Modular degree for the optimal curve |
Δ |
-6.8767808709536E+25 |
Discriminant |
Eigenvalues |
2+ 0 -3 0 11- 1 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-124861556,669042607888] |
[a1,a2,a3,a4,a6] |
Generators |
[-3992:1052644:1] |
Generators of the group modulo torsion |
j |
-2933428257/937024 |
j-invariant |
L |
2.0029317376279 |
L(r)(E,1)/r! |
Ω |
0.058345164553362 |
Real period |
R |
8.5822523967034 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000121478 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11638t1 128018d1 |
Quadratic twists by: -11 -23 |