Atkin-Lehner |
2- 3- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
23712q |
Isogeny class |
Conductor |
23712 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-22505154048 = -1 · 29 · 34 · 134 · 19 |
Discriminant |
Eigenvalues |
2- 3- -2 0 0 13- 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-304,7400] |
[a1,a2,a3,a4,a6] |
j |
-6088387976/43955379 |
j-invariant |
L |
2.0704484527954 |
L(r)(E,1)/r! |
Ω |
1.0352242263977 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
23712o2 47424cg3 71136l2 |
Quadratic twists by: -4 8 -3 |