Atkin-Lehner |
2+ 3+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
65472b |
Isogeny class |
Conductor |
65472 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
38549377253376 = 220 · 34 · 114 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 2 4 11+ -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-43777,3527425] |
[a1,a2,a3,a4,a6] |
Generators |
[225:2240:1] |
Generators of the group modulo torsion |
j |
35394167353537/147054204 |
j-invariant |
L |
7.3798360437036 |
L(r)(E,1)/r! |
Ω |
0.65091249787463 |
Real period |
R |
2.8344193987437 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000354 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65472cs3 2046i4 |
Quadratic twists by: -4 8 |