Atkin-Lehner |
2- 3- 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
38850cu |
Isogeny class |
Conductor |
38850 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-107080312500 = -1 · 22 · 33 · 57 · 73 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 3 -6 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4813,-129883] |
[a1,a2,a3,a4,a6] |
Generators |
[122:-1111:1] |
Generators of the group modulo torsion |
j |
-789145184521/6853140 |
j-invariant |
L |
11.37552123224 |
L(r)(E,1)/r! |
Ω |
0.28644422172292 |
Real period |
R |
1.1031351897935 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116550cb1 7770h1 |
Quadratic twists by: -3 5 |