Atkin-Lehner |
3- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
1935h |
Isogeny class |
Conductor |
1935 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-571299075 = -1 · 312 · 52 · 43 |
Discriminant |
Eigenvalues |
2 3- 5+ -4 3 5 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,87,-1107] |
[a1,a2,a3,a4,a6] |
j |
99897344/783675 |
j-invariant |
L |
3.2499343582347 |
L(r)(E,1)/r! |
Ω |
0.81248358955867 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30960bp1 123840dk1 645f1 9675s1 |
Quadratic twists by: -4 8 -3 5 |