Atkin-Lehner |
2+ 3- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
23256i |
Isogeny class |
Conductor |
23256 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-32816170266052608 = -1 · 211 · 312 · 174 · 192 |
Discriminant |
Eigenvalues |
2+ 3- -4 0 0 -4 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-444387,-114355010] |
[a1,a2,a3,a4,a6] |
j |
-6500552477501378/21980138049 |
j-invariant |
L |
0.73948827002596 |
L(r)(E,1)/r! |
Ω |
0.092436033753246 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46512i2 7752i2 |
Quadratic twists by: -4 -3 |