Atkin-Lehner |
2+ 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
79968n |
Isogeny class |
Conductor |
79968 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1222144 |
Modular degree for the optimal curve |
Δ |
-62220721728969216 = -1 · 29 · 311 · 79 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7- -5 -1 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1065472,423838024] |
[a1,a2,a3,a4,a6] |
j |
-6474376070072/3011499 |
j-invariant |
L |
0.68967959911368 |
L(r)(E,1)/r! |
Ω |
0.34483981295011 |
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 |
79968cq1 79968bi1 |
Quadratic twists by: -4 -7 |