Atkin-Lehner |
2- 3- 13- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
25194y |
Isogeny class |
Conductor |
25194 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
2286655308362017476 = 22 · 312 · 134 · 172 · 194 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 -4 13- 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-702507,-214696755] |
[a1,a2,a3,a4,a6] |
Generators |
[-3354:21567:8] |
Generators of the group modulo torsion |
j |
38342084405311078312753/2286655308362017476 |
j-invariant |
L |
9.6646127151176 |
L(r)(E,1)/r! |
Ω |
0.16552102201285 |
Real period |
R |
2.4328764501707 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
75582m2 |
Quadratic twists by: -3 |