Atkin-Lehner |
2- 3- 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
54390cv |
Isogeny class |
Conductor |
54390 |
Conductor |
∏ cp |
1152 |
Product of Tamagawa factors cp |
Δ |
300579378301440000 = 212 · 36 · 54 · 76 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1044926,-410367420] |
[a1,a2,a3,a4,a6] |
Generators |
[-596:1186:1] |
Generators of the group modulo torsion |
j |
1072487167529950801/2554882560000 |
j-invariant |
L |
11.408052552899 |
L(r)(E,1)/r! |
Ω |
0.14934487961319 |
Real period |
R |
1.0609347622495 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1110k2 |
Quadratic twists by: -7 |