Atkin-Lehner |
2- 3+ 5- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
38760u |
Isogeny class |
Conductor |
38760 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
5581440000 = 210 · 33 · 54 · 17 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 4 4 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2840,59100] |
[a1,a2,a3,a4,a6] |
j |
2474752019044/5450625 |
j-invariant |
L |
2.7115557277592 |
L(r)(E,1)/r! |
Ω |
1.3557778639007 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
77520bc1 116280g1 |
Quadratic twists by: -4 -3 |