Atkin-Lehner |
2- 3- 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
56544h |
Isogeny class |
Conductor |
56544 |
Conductor |
∏ cp |
360 |
Product of Tamagawa factors cp |
deg |
2880000 |
Modular degree for the optimal curve |
Δ |
-3.7760168651248E+21 |
Discriminant |
Eigenvalues |
2- 3- -3 -3 1 4 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-244797,-2956930101] |
[a1,a2,a3,a4,a6] |
Generators |
[3153:-166212:1] |
Generators of the group modulo torsion |
j |
-396080819484364288/921879117462106971 |
j-invariant |
L |
5.3106336024874 |
L(r)(E,1)/r! |
Ω |
0.063325525163768 |
Real period |
R |
0.23295124625158 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000321 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56544a1 113088c1 |
Quadratic twists by: -4 8 |