Atkin-Lehner |
3- 5+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
8415k |
Isogeny class |
Conductor |
8415 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
99845947265625 = 37 · 512 · 11 · 17 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 11+ 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-29858,-1919248] |
[a1,a2,a3,a4,a6] |
Generators |
[-93:262:1] |
Generators of the group modulo torsion |
j |
4037984881634521/136962890625 |
j-invariant |
L |
2.4809528223727 |
L(r)(E,1)/r! |
Ω |
0.36394768922905 |
Real period |
R |
3.4083920516545 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2805e4 42075v3 92565bb3 |
Quadratic twists by: -3 5 -11 |