Atkin-Lehner |
2- 3- 7- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
57288t |
Isogeny class |
Conductor |
57288 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
Δ |
-7414145484202727424 = -1 · 211 · 37 · 76 · 114 · 312 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11+ -2 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-335552,-150974880] |
[a1,a2,a3,a4,a6] |
Generators |
[1603:58590:1] |
Generators of the group modulo torsion |
j |
-2040208483912550786/3620188224708363 |
j-invariant |
L |
9.3437591955581 |
L(r)(E,1)/r! |
Ω |
0.093604297885751 |
Real period |
R |
2.3767119893471 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998927 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114576e2 |
Quadratic twists by: -4 |