Atkin-Lehner |
2+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
18368l |
Isogeny class |
Conductor |
18368 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-30979763863552 = -1 · 217 · 78 · 41 |
Discriminant |
Eigenvalues |
2+ 0 2 7- 0 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3796,252208] |
[a1,a2,a3,a4,a6] |
Generators |
[-888:8180:27] |
Generators of the group modulo torsion |
j |
46152198846/236356841 |
j-invariant |
L |
5.7818271757679 |
L(r)(E,1)/r! |
Ω |
0.47476581131277 |
Real period |
R |
6.0891359887316 |
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 |
18368v4 2296b4 128576m3 |
Quadratic twists by: -4 8 -7 |