Atkin-Lehner |
2+ 3- 17- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
49776c |
Isogeny class |
Conductor |
49776 |
Conductor |
∏ cp |
58 |
Product of Tamagawa factors cp |
deg |
1770624 |
Modular degree for the optimal curve |
Δ |
-1.1113860559284E+21 |
Discriminant |
Eigenvalues |
2+ 3- 1 -2 5 -1 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1003335,-1556270109] |
[a1,a2,a3,a4,a6] |
Generators |
[113070:1200663:125] |
Generators of the group modulo torsion |
j |
436336155541511681024/4341351780970403931 |
j-invariant |
L |
8.2600985847759 |
L(r)(E,1)/r! |
Ω |
0.076398223976411 |
Real period |
R |
1.8641204654842 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999926 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24888a1 |
Quadratic twists by: -4 |