Atkin-Lehner |
2- 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
54684m |
Isogeny class |
Conductor |
54684 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
6125759426304 = 28 · 38 · 76 · 31 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-72471,7508270] |
[a1,a2,a3,a4,a6] |
Generators |
[163:-162:1] [-146:3870:1] |
Generators of the group modulo torsion |
j |
1917170512/279 |
j-invariant |
L |
8.917053012505 |
L(r)(E,1)/r! |
Ω |
0.72906170684404 |
Real period |
R |
2.0384769740793 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999975 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18228c2 1116d2 |
Quadratic twists by: -3 -7 |