Atkin-Lehner |
2+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
6944a |
Isogeny class |
Conductor |
6944 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
960 |
Modular degree for the optimal curve |
Δ |
13888 = 26 · 7 · 31 |
Discriminant |
Eigenvalues |
2+ 0 4 7+ -6 -2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-73,240] |
[a1,a2,a3,a4,a6] |
j |
672221376/217 |
j-invariant |
L |
1.9426350711446 |
L(r)(E,1)/r! |
Ω |
3.8852701422891 |
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 |
6944b1 13888p1 62496bo1 48608a1 |
Quadratic twists by: -4 8 -3 -7 |