Atkin-Lehner |
2+ 3- 5+ 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
113520k |
Isogeny class |
Conductor |
113520 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
21477984000000 = 211 · 3 · 56 · 112 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 11+ 0 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13696,-579820] |
[a1,a2,a3,a4,a6] |
Generators |
[334:5676:1] |
Generators of the group modulo torsion |
j |
138741603975938/10487296875 |
j-invariant |
L |
6.0355819165829 |
L(r)(E,1)/r! |
Ω |
0.44342461903074 |
Real period |
R |
1.701411494825 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999425484 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56760o2 |
Quadratic twists by: -4 |