Atkin-Lehner |
2- 3+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
100188d |
Isogeny class |
Conductor |
100188 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
17602230096 = 24 · 33 · 116 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 2 -2 11- 2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2904,-59895] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:15:1] |
Generators of the group modulo torsion |
j |
3538944/23 |
j-invariant |
L |
7.4941135494641 |
L(r)(E,1)/r! |
Ω |
0.6506095809637 |
Real period |
R |
1.9197671856033 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005904 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100188k1 828a1 |
Quadratic twists by: -3 -11 |