Atkin-Lehner |
2+ 3- 5+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
38760i |
Isogeny class |
Conductor |
38760 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
620160000 = 210 · 3 · 54 · 17 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -4 -4 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-256,944] |
[a1,a2,a3,a4,a6] |
Generators |
[-276:1376:27] |
Generators of the group modulo torsion |
j |
1819026436/605625 |
j-invariant |
L |
6.3811269210762 |
L(r)(E,1)/r! |
Ω |
1.4973576781085 |
Real period |
R |
4.2615916119215 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
77520j1 116280bt1 |
Quadratic twists by: -4 -3 |