Atkin-Lehner |
2+ 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
46550bi |
Isogeny class |
Conductor |
46550 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
89600 |
Modular degree for the optimal curve |
Δ |
-3066874132000 = -1 · 25 · 53 · 79 · 19 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- 3 1 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4681,148908] |
[a1,a2,a3,a4,a6] |
Generators |
[102:806:1] |
Generators of the group modulo torsion |
j |
-2248091/608 |
j-invariant |
L |
3.1054824547047 |
L(r)(E,1)/r! |
Ω |
0.75992300277755 |
Real period |
R |
1.021643786066 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46550cz1 46550bn1 |
Quadratic twists by: 5 -7 |