Atkin-Lehner |
2+ 3+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
65472a |
Isogeny class |
Conductor |
65472 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-5904746660680040448 = -1 · 217 · 318 · 112 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -2 11+ -4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-124673,-118091775] |
[a1,a2,a3,a4,a6] |
Generators |
[1153:35632:1] |
Generators of the group modulo torsion |
j |
-1635063031525250/45049641881409 |
j-invariant |
L |
4.4939892254657 |
L(r)(E,1)/r! |
Ω |
0.1039519863596 |
Real period |
R |
5.4039241853194 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996897 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65472cr2 8184m2 |
Quadratic twists by: -4 8 |