Atkin-Lehner |
3+ 5+ 23+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
81765b |
Isogeny class |
Conductor |
81765 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
37056 |
Modular degree for the optimal curve |
Δ |
129761055 = 33 · 5 · 233 · 79 |
Discriminant |
Eigenvalues |
1 3+ 5+ 5 2 -6 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-135,290] |
[a1,a2,a3,a4,a6] |
Generators |
[2:4:1] |
Generators of the group modulo torsion |
j |
10119744747/4805965 |
j-invariant |
L |
7.9897944703385 |
L(r)(E,1)/r! |
Ω |
1.6511894930021 |
Real period |
R |
2.4194056782092 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81765d1 |
Quadratic twists by: -3 |