Atkin-Lehner |
2- 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
79968cu |
Isogeny class |
Conductor |
79968 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-161245796511744 = -1 · 212 · 39 · 76 · 17 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 5 1 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,13459,-105477] |
[a1,a2,a3,a4,a6] |
Generators |
[289:5292:1] |
Generators of the group modulo torsion |
j |
559476224/334611 |
j-invariant |
L |
8.2774363265143 |
L(r)(E,1)/r! |
Ω |
0.33527657231469 |
Real period |
R |
0.68578840823968 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999945 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79968bu1 1632f1 |
Quadratic twists by: -4 -7 |