Atkin-Lehner |
2- 3+ 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
56400bw |
Isogeny class |
Conductor |
56400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
6786048000000 = 216 · 3 · 56 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 0 2 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-102008,-12505488] |
[a1,a2,a3,a4,a6] |
Generators |
[3298:188446:1] |
Generators of the group modulo torsion |
j |
1834216913521/106032 |
j-invariant |
L |
3.9869515566254 |
L(r)(E,1)/r! |
Ω |
0.26714198464388 |
Real period |
R |
7.4622331681008 |
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 |
7050g2 2256n2 |
Quadratic twists by: -4 5 |