Atkin-Lehner |
2+ 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
111600bs |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
5674608900000000 = 28 · 310 · 58 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 -4 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-85575,8927750] |
[a1,a2,a3,a4,a6] |
Generators |
[1649:65968:1] |
Generators of the group modulo torsion |
j |
23767139536/1946025 |
j-invariant |
L |
8.3837475023432 |
L(r)(E,1)/r! |
Ω |
0.41735720062763 |
Real period |
R |
5.0219257315955 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000050036 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
55800p2 37200g2 22320k2 |
Quadratic twists by: -4 -3 5 |