Atkin-Lehner |
3- 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
2961d |
Isogeny class |
Conductor |
2961 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-539743702743 = -1 · 314 · 74 · 47 |
Discriminant |
Eigenvalues |
1 3- -2 7+ 0 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1512,26779] |
[a1,a2,a3,a4,a6] |
j |
524191506047/740389167 |
j-invariant |
L |
1.25080453694 |
L(r)(E,1)/r! |
Ω |
0.62540226847002 |
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 |
47376bv3 987b4 74025v3 20727p4 |
Quadratic twists by: -4 -3 5 -7 |