Atkin-Lehner |
2+ 3- 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
48312f |
Isogeny class |
Conductor |
48312 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
21120 |
Modular degree for the optimal curve |
Δ |
1001797632 = 211 · 36 · 11 · 61 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 11+ 1 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-291,-1154] |
[a1,a2,a3,a4,a6] |
j |
1825346/671 |
j-invariant |
L |
1.1916078256704 |
L(r)(E,1)/r! |
Ω |
1.1916078252615 |
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 |
96624n1 5368c1 |
Quadratic twists by: -4 -3 |