Atkin-Lehner |
2- 3+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
15456o |
Isogeny class |
Conductor |
15456 |
Conductor |
∏ cp |
8 |
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] |
j |
-13258203533632/6930522081 |
j-invariant |
L |
1.9776725102779 |
L(r)(E,1)/r! |
Ω |
0.24720906378474 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15456r4 30912ck1 46368u2 108192cc2 |
Quadratic twists by: -4 8 -3 -7 |