Atkin-Lehner |
2+ 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
119952v |
Isogeny class |
Conductor |
119952 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4128768 |
Modular degree for the optimal curve |
Δ |
-1959952734462530304 = -1 · 28 · 313 · 710 · 17 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- -1 1 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-41948508,-104573822164] |
[a1,a2,a3,a4,a6] |
Generators |
[17288388502891444033142983920658219:1980282520740839137649379931445646327:1072203762893467011981305654899] |
Generators of the group modulo torsion |
j |
-371806976516936704/89266779 |
j-invariant |
L |
6.2823020863516 |
L(r)(E,1)/r! |
Ω |
0.029661316503908 |
Real period |
R |
52.950297111086 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59976k1 39984h1 17136f1 |
Quadratic twists by: -4 -3 -7 |