Atkin-Lehner |
7+ 17+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
7973c |
Isogeny class |
Conductor |
7973 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9792 |
Modular degree for the optimal curve |
Δ |
-38726638979 = -1 · 76 · 173 · 67 |
Discriminant |
Eigenvalues |
2 1 2 7+ 5 -4 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,538,8341] |
[a1,a2,a3,a4,a6] |
j |
17189492314112/38726638979 |
j-invariant |
L |
6.4031273041506 |
L(r)(E,1)/r! |
Ω |
0.80039091301883 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127568y1 71757l1 55811n1 |
Quadratic twists by: -4 -3 -7 |