Atkin-Lehner |
2- 3- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
119646cx |
Isogeny class |
Conductor |
119646 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
8167113012024 = 23 · 312 · 174 · 23 |
Discriminant |
Eigenvalues |
2- 3- 1 3 0 0 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6557,152813] |
[a1,a2,a3,a4,a6] |
Generators |
[-87:286:1] |
Generators of the group modulo torsion |
j |
511981129/134136 |
j-invariant |
L |
13.902398592159 |
L(r)(E,1)/r! |
Ω |
0.68935074329853 |
Real period |
R |
1.6806150247045 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999959817 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39882bb1 119646bv1 |
Quadratic twists by: -3 17 |