Atkin-Lehner |
2+ 5+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
13640a |
Isogeny class |
Conductor |
13640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
96025600 = 210 · 52 · 112 · 31 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 11+ -6 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-643,-6258] |
[a1,a2,a3,a4,a6] |
Generators |
[31:60:1] |
Generators of the group modulo torsion |
j |
28711552356/93775 |
j-invariant |
L |
3.7478443312793 |
L(r)(E,1)/r! |
Ω |
0.94827018317108 |
Real period |
R |
1.9761479364174 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27280c2 109120m2 122760ca2 68200o2 |
Quadratic twists by: -4 8 -3 5 |