Atkin-Lehner |
2- 23+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
30544l |
Isogeny class |
Conductor |
30544 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-11786195566592 = -1 · 228 · 232 · 83 |
Discriminant |
Eigenvalues |
2- -1 2 -1 5 0 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1048,-165008] |
[a1,a2,a3,a4,a6] |
j |
31047965207/2877489152 |
j-invariant |
L |
2.7168110223978 |
L(r)(E,1)/r! |
Ω |
0.33960137779976 |
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 |
3818b1 122176bb1 |
Quadratic twists by: -4 8 |