Atkin-Lehner |
2- 3+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
86640cp |
Isogeny class |
Conductor |
86640 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
505440 |
Modular degree for the optimal curve |
Δ |
-17985956343750000 = -1 · 24 · 313 · 59 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 2 0 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,9190,6440475] |
[a1,a2,a3,a4,a6] |
j |
14859212843264/3113912109375 |
j-invariant |
L |
2.6993289721431 |
L(r)(E,1)/r! |
Ω |
0.29992543419414 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21660be1 86640dw1 |
Quadratic twists by: -4 -19 |