Atkin-Lehner |
7+ 17+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
7973a |
Isogeny class |
Conductor |
7973 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5952 |
Modular degree for the optimal curve |
Δ |
-6566108339 = -1 · 78 · 17 · 67 |
Discriminant |
Eigenvalues |
2 1 2 7+ -5 4 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,468,-59] |
[a1,a2,a3,a4,a6] |
Generators |
[342810:2818259:5832] |
Generators of the group modulo torsion |
j |
11311832379392/6566108339 |
j-invariant |
L |
9.7376501925315 |
L(r)(E,1)/r! |
Ω |
0.79143172870295 |
Real period |
R |
6.1519205254066 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127568bc1 71757j1 55811k1 |
Quadratic twists by: -4 -3 -7 |