Atkin-Lehner |
2- 3+ 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
56400bw |
Isogeny class |
Conductor |
56400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-6930432000000 = -1 · 220 · 32 · 56 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 0 2 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6008,-217488] |
[a1,a2,a3,a4,a6] |
Generators |
[98:354:1] |
Generators of the group modulo torsion |
j |
-374805361/108288 |
j-invariant |
L |
3.9869515566254 |
L(r)(E,1)/r! |
Ω |
0.26714198464388 |
Real period |
R |
3.7311165840504 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999553 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7050g1 2256n1 |
Quadratic twists by: -4 5 |