Atkin-Lehner |
2- 3+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
79968cb |
Isogeny class |
Conductor |
79968 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
174592 |
Modular degree for the optimal curve |
Δ |
-528867408384 = -1 · 29 · 311 · 73 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 5 1 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-21744,1241892] |
[a1,a2,a3,a4,a6] |
j |
-6474376070072/3011499 |
j-invariant |
L |
3.6494415446026 |
L(r)(E,1)/r! |
Ω |
0.91236038722002 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79968bi1 79968cq1 |
Quadratic twists by: -4 -7 |