Atkin-Lehner |
3+ 13+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
92781a |
Isogeny class |
Conductor |
92781 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-5795370974367 = -1 · 39 · 136 · 61 |
Discriminant |
Eigenvalues |
1 3+ 0 2 -4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,4278,-43705] |
[a1,a2,a3,a4,a6] |
Generators |
[62:645:1] |
Generators of the group modulo torsion |
j |
91125/61 |
j-invariant |
L |
7.2333276780922 |
L(r)(E,1)/r! |
Ω |
0.43116308997566 |
Real period |
R |
2.097039334718 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000017873 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92781b1 549b1 |
Quadratic twists by: -3 13 |