Atkin-Lehner |
2+ 3- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
119952q |
Isogeny class |
Conductor |
119952 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
903168 |
Modular degree for the optimal curve |
Δ |
-21142608559285248 = -1 · 210 · 36 · 78 · 173 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 5 -7 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-40131,7649586] |
[a1,a2,a3,a4,a6] |
Generators |
[-245:1666:1] |
Generators of the group modulo torsion |
j |
-1660932/4913 |
j-invariant |
L |
4.9746064371123 |
L(r)(E,1)/r! |
Ω |
0.33699224364625 |
Real period |
R |
0.82009906863818 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999685722 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59976i1 13328a1 119952y1 |
Quadratic twists by: -4 -3 -7 |