Atkin-Lehner |
2- 3- 7+ 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
69426bk |
Isogeny class |
Conductor |
69426 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
Δ |
166540070085967872 = 214 · 314 · 7 · 192 · 292 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -6 0 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5496656,4961497907] |
[a1,a2,a3,a4,a6] |
Generators |
[-2093:86451:1] [-411:84769:1] |
Generators of the group modulo torsion |
j |
25193690172112804268473/228450027552768 |
j-invariant |
L |
12.977764709017 |
L(r)(E,1)/r! |
Ω |
0.2906042223053 |
Real period |
R |
0.79746191069775 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999522 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23142j2 |
Quadratic twists by: -3 |