Atkin-Lehner |
2- 3- 5- 79- |
Signs for the Atkin-Lehner involutions |
Class |
56880bx |
Isogeny class |
Conductor |
56880 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
7188480 |
Modular degree for the optimal curve |
Δ |
-2.4923433450901E+24 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 2 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,8382813,-75379328606] |
[a1,a2,a3,a4,a6] |
Generators |
[307036661187424345:175614883085439448542:938601300671] |
Generators of the group modulo torsion |
j |
21817529432070364511/834680743463485440 |
j-invariant |
L |
8.0493498782026 |
L(r)(E,1)/r! |
Ω |
0.039117107004818 |
Real period |
R |
25.721961868085 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000076 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7110m1 18960u1 |
Quadratic twists by: -4 -3 |