Atkin-Lehner |
2- 3- 11+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
21318q |
Isogeny class |
Conductor |
21318 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
75443208192 = 218 · 34 · 11 · 17 · 19 |
Discriminant |
Eigenvalues |
2- 3- -4 -4 11+ -6 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5825,170121] |
[a1,a2,a3,a4,a6] |
Generators |
[-86:235:1] [-8:469:1] |
Generators of the group modulo torsion |
j |
21858288865318801/75443208192 |
j-invariant |
L |
9.4603414062078 |
L(r)(E,1)/r! |
Ω |
1.0938647800799 |
Real period |
R |
0.48047485588556 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63954o1 |
Quadratic twists by: -3 |