Atkin-Lehner |
2- 3+ 5- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
38760r |
Isogeny class |
Conductor |
38760 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7168 |
Modular degree for the optimal curve |
Δ |
-23566080 = -1 · 28 · 3 · 5 · 17 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -4 0 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,60,132] |
[a1,a2,a3,a4,a6] |
Generators |
[2:16:1] |
Generators of the group modulo torsion |
j |
91765424/92055 |
j-invariant |
L |
4.5293353344973 |
L(r)(E,1)/r! |
Ω |
1.4065293699904 |
Real period |
R |
1.61011047161 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
77520x1 116280l1 |
Quadratic twists by: -4 -3 |