Atkin-Lehner |
2- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
129472dl |
Isogeny class |
Conductor |
129472 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
327680 |
Modular degree for the optimal curve |
Δ |
-11073158053888 = -1 · 216 · 7 · 176 |
Discriminant |
Eigenvalues |
2- -2 -4 7- 0 0 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-385,159999] |
[a1,a2,a3,a4,a6] |
Generators |
[71:704:1] |
Generators of the group modulo torsion |
j |
-4/7 |
j-invariant |
L |
3.4917801615866 |
L(r)(E,1)/r! |
Ω |
0.57850111911009 |
Real period |
R |
3.0179546156522 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997606667 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129472k1 32368e1 448e1 |
Quadratic twists by: -4 8 17 |