Atkin-Lehner |
2+ 3- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
23616k |
Isogeny class |
Conductor |
23616 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
104083089260544 = 220 · 310 · 412 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 -4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16716,671600] |
[a1,a2,a3,a4,a6] |
j |
2703045457/544644 |
j-invariant |
L |
1.129798837952 |
L(r)(E,1)/r! |
Ω |
0.56489941897608 |
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 |
23616bu2 738c2 7872g2 |
Quadratic twists by: -4 8 -3 |