Atkin-Lehner |
2- 7- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
73346q |
Isogeny class |
Conductor |
73346 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
282048 |
Modular degree for the optimal curve |
Δ |
-10974841120334 = -1 · 2 · 7 · 138 · 312 |
Discriminant |
Eigenvalues |
2- -1 -1 7- -4 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-171961,-27519003] |
[a1,a2,a3,a4,a6] |
Generators |
[2329825880331276:16878057659396661:4604121067456] |
Generators of the group modulo torsion |
j |
-689393108209/13454 |
j-invariant |
L |
5.705507701684 |
L(r)(E,1)/r! |
Ω |
0.11722265317872 |
Real period |
R |
24.336199305203 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73346h1 |
Quadratic twists by: 13 |