Atkin-Lehner |
2- 5+ 7- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
35350q |
Isogeny class |
Conductor |
35350 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-346430000000 = -1 · 27 · 57 · 73 · 101 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- -4 -4 -7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,437,28281] |
[a1,a2,a3,a4,a6] |
Generators |
[75:662:1] |
Generators of the group modulo torsion |
j |
590589719/22171520 |
j-invariant |
L |
6.0199438668161 |
L(r)(E,1)/r! |
Ω |
0.72524402797865 |
Real period |
R |
0.098816392344824 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7070c1 |
Quadratic twists by: 5 |