Atkin-Lehner |
3+ 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
1935c |
Isogeny class |
Conductor |
1935 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
5165826416015625 = 39 · 514 · 43 |
Discriminant |
Eigenvalues |
1 3+ 5- 4 4 2 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-703149,227093768] |
[a1,a2,a3,a4,a6] |
j |
1953326569433829507/262451171875 |
j-invariant |
L |
2.9062847195254 |
L(r)(E,1)/r! |
Ω |
0.41518353136078 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30960bc1 123840n1 1935a1 9675f1 |
Quadratic twists by: -4 8 -3 5 |