Atkin-Lehner |
2- 7- 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
109648y |
Isogeny class |
Conductor |
109648 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
21012480 |
Modular degree for the optimal curve |
Δ |
9.0075642419799E+23 |
Discriminant |
Eigenvalues |
2- 0 2 7- 11- 2 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-566132579,-5184519249310] |
[a1,a2,a3,a4,a6] |
Generators |
[-4535712102:-148616650:328509] |
Generators of the group modulo torsion |
j |
4899121468634873528699594553/219911236376462360576 |
j-invariant |
L |
8.7654023560572 |
L(r)(E,1)/r! |
Ω |
0.030950750720867 |
Real period |
R |
11.800201572514 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000023059 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13706b1 |
Quadratic twists by: -4 |