Atkin-Lehner |
2+ 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
46550b |
Isogeny class |
Conductor |
46550 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
44352 |
Modular degree for the optimal curve |
Δ |
104054658050 = 2 · 52 · 78 · 192 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ -2 0 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1250,-7510] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:88:1] |
Generators of the group modulo torsion |
j |
1500625/722 |
j-invariant |
L |
5.7563913776756 |
L(r)(E,1)/r! |
Ω |
0.84222092770535 |
Real period |
R |
1.139129332206 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999898 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46550cp1 46550y1 |
Quadratic twists by: 5 -7 |