Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
56784de |
Isogeny class |
Conductor |
56784 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
32698270675416528 = 24 · 318 · 74 · 133 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 2 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-95697,-7390278] |
[a1,a2,a3,a4,a6] |
Generators |
[-126:1638:1] |
Generators of the group modulo torsion |
j |
2757231177908224/930196594089 |
j-invariant |
L |
9.6856249032325 |
L(r)(E,1)/r! |
Ω |
0.27883826326946 |
Real period |
R |
0.9648788263403 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999516 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14196c1 56784cv1 |
Quadratic twists by: -4 13 |