Atkin-Lehner |
2- 3- 5- 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
86100bk |
Isogeny class |
Conductor |
86100 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
2171419650162000 = 24 · 38 · 53 · 74 · 413 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -2 -2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-108253,-13560652] |
[a1,a2,a3,a4,a6] |
Generators |
[-181:-369:1] |
Generators of the group modulo torsion |
j |
70148364587368448/1085709825081 |
j-invariant |
L |
7.0216097847873 |
L(r)(E,1)/r! |
Ω |
0.26344899667154 |
Real period |
R |
0.3701754776015 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999954393 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86100s1 |
Quadratic twists by: 5 |