Atkin-Lehner |
2- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
3904h |
Isogeny class |
Conductor |
3904 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
384 |
Modular degree for the optimal curve |
Δ |
-999424 = -1 · 214 · 61 |
Discriminant |
Eigenvalues |
2- 0 3 3 -1 -1 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4,-48] |
[a1,a2,a3,a4,a6] |
j |
432/61 |
j-invariant |
L |
2.6261747548319 |
L(r)(E,1)/r! |
Ω |
1.3130873774159 |
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 |
3904a1 976c1 35136cf1 97600bu1 |
Quadratic twists by: -4 8 -3 5 |