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 |
deg |
76032 |
Modular degree for the optimal curve |
Δ |
-367365061448 = -1 · 23 · 72 · 116 · 232 |
Discriminant |
Eigenvalues |
2+ 1 0 7+ 11+ -4 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,69,29166] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:32:1] [342:2487:8] |
Generators of the group modulo torsion |
j |
70118375/694451912 |
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 |
81466u1 |
Quadratic twists by: -23 |