Atkin-Lehner |
2- 3- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
15456r |
Isogeny class |
Conductor |
15456 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-28387418443776 = -1 · 212 · 316 · 7 · 23 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -4 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7889,369471] |
[a1,a2,a3,a4,a6] |
Generators |
[-89:612:1] |
Generators of the group modulo torsion |
j |
-13258203533632/6930522081 |
j-invariant |
L |
4.6889285845502 |
L(r)(E,1)/r! |
Ω |
0.61826732237729 |
Real period |
R |
1.895995637664 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
15456o4 30912bh1 46368p2 108192bg2 |
Quadratic twists by: -4 8 -3 -7 |