Atkin-Lehner |
2+ 3- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
65472t |
Isogeny class |
Conductor |
65472 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
19911868416 = 216 · 34 · 112 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11+ 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-320097,-69812865] |
[a1,a2,a3,a4,a6] |
Generators |
[16971:2209680:1] |
Generators of the group modulo torsion |
j |
55346472949076068/303831 |
j-invariant |
L |
9.1974145437054 |
L(r)(E,1)/r! |
Ω |
0.2007146353675 |
Real period |
R |
5.7279172285346 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000197 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65472bt4 8184d3 |
Quadratic twists by: -4 8 |