Atkin-Lehner |
2- 3- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
23904r |
Isogeny class |
Conductor |
23904 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1434811595125248 = -1 · 29 · 310 · 834 |
Discriminant |
Eigenvalues |
2- 3- -2 4 -4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12891,1907534] |
[a1,a2,a3,a4,a6] |
Generators |
[349:6318:1] |
Generators of the group modulo torsion |
j |
-634725648584/3844124001 |
j-invariant |
L |
5.2055487487097 |
L(r)(E,1)/r! |
Ω |
0.41355107684427 |
Real period |
R |
3.1468596264047 |
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 |
23904k2 47808x3 7968b4 |
Quadratic twists by: -4 8 -3 |