Atkin-Lehner |
2- 3- 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
106560gf |
Isogeny class |
Conductor |
106560 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
4677120 |
Modular degree for the optimal curve |
Δ |
6.9205338429957E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 5 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20472222,-35650712914] |
[a1,a2,a3,a4,a6] |
Generators |
[-3459533:1266325:1331] |
Generators of the group modulo torsion |
j |
20338136461105732942336/1483310580203125 |
j-invariant |
L |
8.0586593947312 |
L(r)(E,1)/r! |
Ω |
0.07097578582572 |
Real period |
R |
2.7033563668363 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001191 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106560ga1 53280bh1 11840bf1 |
Quadratic twists by: -4 8 -3 |