Atkin-Lehner |
3- 5- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
124545bk |
Isogeny class |
Conductor |
124545 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
360000 |
Modular degree for the optimal curve |
Δ |
-24979245746355 = -1 · 35 · 5 · 197 · 23 |
Discriminant |
Eigenvalues |
0 3- 5- 4 1 -5 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,1685,-238424] |
[a1,a2,a3,a4,a6] |
j |
11239424/530955 |
j-invariant |
L |
3.2179578724653 |
L(r)(E,1)/r! |
Ω |
0.3217958124705 |
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 |
6555g1 |
Quadratic twists by: -19 |