Atkin-Lehner |
2+ 3+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
79968b |
Isogeny class |
Conductor |
79968 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
508032 |
Modular degree for the optimal curve |
Δ |
-1865524284642816 = -1 · 29 · 37 · 78 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7+ -5 -6 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9032,2107176] |
[a1,a2,a3,a4,a6] |
j |
-27610184/632043 |
j-invariant |
L |
0.7867638634833 |
L(r)(E,1)/r! |
Ω |
0.39338195216999 |
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 |
79968u1 79968z1 |
Quadratic twists by: -4 -7 |