Atkin-Lehner |
2- 3+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
86640cm |
Isogeny class |
Conductor |
86640 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
31607605784678400 = 212 · 38 · 52 · 196 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 4 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-779880,-264690000] |
[a1,a2,a3,a4,a6] |
j |
272223782641/164025 |
j-invariant |
L |
2.5705629440451 |
L(r)(E,1)/r! |
Ω |
0.16066018740904 |
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 |
5415k5 240d5 |
Quadratic twists by: -4 -19 |