Atkin-Lehner |
2+ 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
86640bi |
Isogeny class |
Conductor |
86640 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
978253231161600 = 28 · 32 · 52 · 198 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 0 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-36220,-2197300] |
[a1,a2,a3,a4,a6] |
j |
436334416/81225 |
j-invariant |
L |
2.8041599035513 |
L(r)(E,1)/r! |
Ω |
0.3505199973161 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
43320l2 4560f2 |
Quadratic twists by: -4 -19 |