Atkin-Lehner |
2+ 3- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
49632d |
Isogeny class |
Conductor |
49632 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
89088 |
Modular degree for the optimal curve |
Δ |
1508946905664 = 26 · 36 · 114 · 472 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 11- -2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4034,77616] |
[a1,a2,a3,a4,a6] |
Generators |
[-50:396:1] |
Generators of the group modulo torsion |
j |
113464257070528/23577295401 |
j-invariant |
L |
4.5445669758634 |
L(r)(E,1)/r! |
Ω |
0.80277184175585 |
Real period |
R |
0.94351569138975 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000107 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
49632e1 99264b2 |
Quadratic twists by: -4 8 |