Atkin-Lehner |
2+ 7+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
81466c |
Isogeny class |
Conductor |
81466 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-3855664558592 = -1 · 29 · 76 · 112 · 232 |
Discriminant |
Eigenvalues |
2+ 1 0 7+ 11+ -4 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-69506,7047892] |
[a1,a2,a3,a4,a6] |
Generators |
[160:91:1] [172:348:1] |
Generators of the group modulo torsion |
j |
-70198195143951625/7288590848 |
j-invariant |
L |
9.0324709317673 |
L(r)(E,1)/r! |
Ω |
0.75251369710544 |
Real period |
R |
3.0007662871871 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000094 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81466u2 |
Quadratic twists by: -23 |