Atkin-Lehner |
2- 11+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
119306o |
Isogeny class |
Conductor |
119306 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
24273521536 = 27 · 113 · 173 · 29 |
Discriminant |
Eigenvalues |
2- -1 -1 -2 11+ -2 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1746,26335] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:189:1] |
Generators of the group modulo torsion |
j |
442276557659/18237056 |
j-invariant |
L |
4.7413556615754 |
L(r)(E,1)/r! |
Ω |
1.1860762755366 |
Real period |
R |
0.095178887747132 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999844866 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119306a1 |
Quadratic twists by: -11 |