Atkin-Lehner |
2- 3+ 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
86640ch |
Isogeny class |
Conductor |
86640 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
164160 |
Modular degree for the optimal curve |
Δ |
-20380275649200 = -1 · 24 · 3 · 52 · 198 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 -2 3 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9145,-397568] |
[a1,a2,a3,a4,a6] |
Generators |
[49812:393490:343] |
Generators of the group modulo torsion |
j |
-311296/75 |
j-invariant |
L |
6.4656252312178 |
L(r)(E,1)/r! |
Ω |
0.24103255841014 |
Real period |
R |
4.4707827584636 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999891846 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21660z1 86640ea1 |
Quadratic twists by: -4 -19 |