Atkin-Lehner |
3+ 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
1947a |
Isogeny class |
Conductor |
1947 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
96 |
Modular degree for the optimal curve |
Δ |
5841 = 32 · 11 · 59 |
Discriminant |
Eigenvalues |
1 3+ 2 2 11+ -2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-14,15] |
[a1,a2,a3,a4,a6] |
j |
338608873/5841 |
j-invariant |
L |
2.1342615328881 |
L(r)(E,1)/r! |
Ω |
4.2685230657763 |
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 |
31152bc1 124608bo1 5841i1 48675n1 |
Quadratic twists by: -4 8 -3 5 |