Atkin-Lehner |
3- 5+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
8415k |
Isogeny class |
Conductor |
8415 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3584868890625 = 38 · 56 · 112 · 172 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 11+ 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4613,80156] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:466:1] |
Generators of the group modulo torsion |
j |
14888751553801/4917515625 |
j-invariant |
L |
2.4809528223727 |
L(r)(E,1)/r! |
Ω |
0.7278953784581 |
Real period |
R |
1.7041960258273 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2805e2 42075v2 92565bb2 |
Quadratic twists by: -3 5 -11 |