Atkin-Lehner |
3+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
77763p |
Isogeny class |
Conductor |
77763 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
-8412060489296163 = -1 · 3 · 77 · 237 |
Discriminant |
Eigenvalues |
2 3+ 0 7- -1 -2 4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,43202,2729145] |
[a1,a2,a3,a4,a6] |
Generators |
[7044:189879:64] |
Generators of the group modulo torsion |
j |
512000/483 |
j-invariant |
L |
9.8934212715328 |
L(r)(E,1)/r! |
Ω |
0.27102125433668 |
Real period |
R |
4.5630283214797 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999974155 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11109f1 3381h1 |
Quadratic twists by: -7 -23 |