Atkin-Lehner |
2+ 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
79968l |
Isogeny class |
Conductor |
79968 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
72576 |
Modular degree for the optimal curve |
Δ |
-15856694784 = -1 · 29 · 37 · 72 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7- 5 6 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-184,6196] |
[a1,a2,a3,a4,a6] |
j |
-27610184/632043 |
j-invariant |
L |
4.1631632202571 |
L(r)(E,1)/r! |
Ω |
1.0407908157029 |
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 |
79968z1 79968u1 |
Quadratic twists by: -4 -7 |