Atkin-Lehner |
2- 3+ 5+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
35880m |
Isogeny class |
Conductor |
35880 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
788283600 = 24 · 3 · 52 · 134 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -4 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-631,-5744] |
[a1,a2,a3,a4,a6] |
Generators |
[36:-130:1] [33:91:1] |
Generators of the group modulo torsion |
j |
1739321595904/49267725 |
j-invariant |
L |
7.1572395802067 |
L(r)(E,1)/r! |
Ω |
0.95408393386914 |
Real period |
R |
1.8754218906037 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
71760n1 107640q1 |
Quadratic twists by: -4 -3 |