Atkin-Lehner |
7- 17+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
7973g |
Isogeny class |
Conductor |
7973 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
3312 |
Modular degree for the optimal curve |
Δ |
7973 = 7 · 17 · 67 |
Discriminant |
Eigenvalues |
0 -2 0 7- -3 5 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-3323,72633] |
[a1,a2,a3,a4,a6] |
Generators |
[83603:113764:2197] |
Generators of the group modulo torsion |
j |
4059246481408000/7973 |
j-invariant |
L |
2.2399713106208 |
L(r)(E,1)/r! |
Ω |
2.6976212605348 |
Real period |
R |
7.4731549941857 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
127568q1 71757q1 55811m1 |
Quadratic twists by: -4 -3 -7 |