Atkin-Lehner |
2+ 3- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
27456v |
Isogeny class |
Conductor |
27456 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
-187044617650176 = -1 · 217 · 310 · 11 · 133 |
Discriminant |
Eigenvalues |
2+ 3- 1 3 11+ 13+ 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-19425,-1238913] |
[a1,a2,a3,a4,a6] |
j |
-6184708364018/1427037183 |
j-invariant |
L |
3.9950249950276 |
L(r)(E,1)/r! |
Ω |
0.19975124975137 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27456bq1 3432a1 82368bq1 |
Quadratic twists by: -4 8 -3 |