Atkin-Lehner |
2- 3- 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
85680fm |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
-924218781696000000 = -1 · 218 · 38 · 56 · 7 · 173 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -6 2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-40827,-46362454] |
[a1,a2,a3,a4,a6] |
Generators |
[847:-22950:1] |
Generators of the group modulo torsion |
j |
-2520453225529/309519000000 |
j-invariant |
L |
5.5563537468461 |
L(r)(E,1)/r! |
Ω |
0.12401910803041 |
Real period |
R |
0.62225556219412 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003502 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10710bn3 28560ch3 |
Quadratic twists by: -4 -3 |