Atkin-Lehner |
2+ 3- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
119646q |
Isogeny class |
Conductor |
119646 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
121257870912 = 26 · 36 · 173 · 232 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 2 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1278,-5036] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:121:1] [-12:98:1] |
Generators of the group modulo torsion |
j |
64481201/33856 |
j-invariant |
L |
7.1360043176714 |
L(r)(E,1)/r! |
Ω |
0.84652054247303 |
Real period |
R |
2.1074516093513 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999990704 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13294j1 119646z1 |
Quadratic twists by: -3 17 |