Atkin-Lehner |
2- 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
23408h |
Isogeny class |
Conductor |
23408 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
119599149824 = 28 · 76 · 11 · 192 |
Discriminant |
Eigenvalues |
2- 0 -2 7- 11+ 2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2231,-36990] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:38:1] |
Generators of the group modulo torsion |
j |
4797140712912/467184179 |
j-invariant |
L |
4.1638266445553 |
L(r)(E,1)/r! |
Ω |
0.69901278717703 |
Real period |
R |
1.9855748568735 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5852b2 93632bb2 |
Quadratic twists by: -4 8 |