Atkin-Lehner |
2- 3+ 5+ 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
86730bz |
Isogeny class |
Conductor |
86730 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-12089077875000 = -1 · 23 · 34 · 56 · 73 · 592 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 2 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-9381,-391581] |
[a1,a2,a3,a4,a6] |
j |
-266182741333783/35245125000 |
j-invariant |
L |
2.8893185957478 |
L(r)(E,1)/r! |
Ω |
0.24077654876843 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86730cq2 |
Quadratic twists by: -7 |