Atkin-Lehner |
2- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
48400ch |
Isogeny class |
Conductor |
48400 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-13718968384000000 = -1 · 212 · 56 · 118 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 11- -1 5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1453008,-673679488] |
[a1,a2,a3,a4,a6] |
Generators |
[19139389402918:1249814866342086:4149995543] |
Generators of the group modulo torsion |
j |
-24729001 |
j-invariant |
L |
8.0239816187804 |
L(r)(E,1)/r! |
Ω |
0.068754555555476 |
Real period |
R |
19.450787791329 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3025e2 1936k2 48400cg1 |
Quadratic twists by: -4 5 -11 |