Atkin-Lehner |
3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
16245l |
Isogeny class |
Conductor |
16245 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-15042936210120135 = -1 · 311 · 5 · 198 |
Discriminant |
Eigenvalues |
-1 3- 5- -2 6 0 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,61663,-308424] |
[a1,a2,a3,a4,a6] |
j |
756058031/438615 |
j-invariant |
L |
1.8698665939654 |
L(r)(E,1)/r! |
Ω |
0.23373332424568 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5415c1 81225bb1 855c1 |
Quadratic twists by: -3 5 -19 |