Atkin-Lehner |
2+ 3+ 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
86592h |
Isogeny class |
Conductor |
86592 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
6373082529792 = 217 · 34 · 114 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 11+ -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8449,-270335] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:144:1] [-40:45:1] |
Generators of the group modulo torsion |
j |
508957029506/48622761 |
j-invariant |
L |
8.205324371807 |
L(r)(E,1)/r! |
Ω |
0.50101328563509 |
Real period |
R |
4.0943646640225 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000203 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86592do4 10824l3 |
Quadratic twists by: -4 8 |