Atkin-Lehner |
3+ 5- 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
38775g |
Isogeny class |
Conductor |
38775 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
2132625 = 3 · 53 · 112 · 47 |
Discriminant |
Eigenvalues |
-1 3+ 5- -2 11+ -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-33,6] |
[a1,a2,a3,a4,a6] |
Generators |
[-50:51:8] [-6:8:1] |
Generators of the group modulo torsion |
j |
31855013/17061 |
j-invariant |
L |
4.5312207644629 |
L(r)(E,1)/r! |
Ω |
2.2803741935374 |
Real period |
R |
1.9870514134493 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116325bj1 38775o1 |
Quadratic twists by: -3 5 |