Atkin-Lehner |
2+ 3- 5- 19- 67- |
Signs for the Atkin-Lehner involutions |
Class |
38190u |
Isogeny class |
Conductor |
38190 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
725610000 = 24 · 3 · 54 · 192 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 4 -4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-638,-6112] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:15:1] |
Generators of the group modulo torsion |
j |
28655425171801/725610000 |
j-invariant |
L |
5.0582037485597 |
L(r)(E,1)/r! |
Ω |
0.95158289700431 |
Real period |
R |
1.3288920399061 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114570bp1 |
Quadratic twists by: -3 |