Atkin-Lehner |
2+ 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
88360k |
Isogeny class |
Conductor |
88360 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2815488 |
Modular degree for the optimal curve |
Δ |
2.6930755704745E+20 |
Discriminant |
Eigenvalues |
2+ 2 5- 0 -5 4 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1626560,119461820] |
[a1,a2,a3,a4,a6] |
Generators |
[12166709023477599266:44333950844498819256:165213391434917813] |
Generators of the group modulo torsion |
j |
8836/5 |
j-invariant |
L |
9.7598107861686 |
L(r)(E,1)/r! |
Ω |
0.14998030385471 |
Real period |
R |
32.536974973804 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88360e1 |
Quadratic twists by: -47 |