Atkin-Lehner |
2+ 3- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
7872j |
Isogeny class |
Conductor |
7872 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-23129575391232 = -1 · 221 · 38 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 4 4 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1697,232383] |
[a1,a2,a3,a4,a6] |
j |
-2062933417/88232328 |
j-invariant |
L |
4.4922660415355 |
L(r)(E,1)/r! |
Ω |
0.56153325519194 |
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 |
7872s2 246d2 23616s2 |
Quadratic twists by: -4 8 -3 |