Atkin-Lehner |
2+ 3- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
61248t |
Isogeny class |
Conductor |
61248 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
84509680730112 = 223 · 32 · 113 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 11- -6 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14537953,21330663551] |
[a1,a2,a3,a4,a6] |
Generators |
[1715:38016:1] |
Generators of the group modulo torsion |
j |
1296264422595159069625/322378848 |
j-invariant |
L |
6.9947633470998 |
L(r)(E,1)/r! |
Ω |
0.35713237450008 |
Real period |
R |
1.6321593537679 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000309 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61248bg2 1914b2 |
Quadratic twists by: -4 8 |