Atkin-Lehner |
7- 17- 67- |
Signs for the Atkin-Lehner involutions |
Class |
7973h |
Isogeny class |
Conductor |
7973 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
2736 |
Modular degree for the optimal curve |
Δ |
390677 = 73 · 17 · 67 |
Discriminant |
Eigenvalues |
0 -2 -4 7- -3 3 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-565,4985] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:74:1] [1:66:1] |
Generators of the group modulo torsion |
j |
19981932691456/390677 |
j-invariant |
L |
2.9739960800982 |
L(r)(E,1)/r! |
Ω |
2.7659687268693 |
Real period |
R |
0.35840319417542 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127568v1 71757n1 55811h1 |
Quadratic twists by: -4 -3 -7 |