Atkin-Lehner |
3+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
77763l |
Isogeny class |
Conductor |
77763 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
304128 |
Modular degree for the optimal curve |
Δ |
-1097225281212543 = -1 · 32 · 77 · 236 |
Discriminant |
Eigenvalues |
-1 3+ -2 7- -4 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,25381,-332368] |
[a1,a2,a3,a4,a6] |
Generators |
[36:775:1] |
Generators of the group modulo torsion |
j |
103823/63 |
j-invariant |
L |
1.677663001385 |
L(r)(E,1)/r! |
Ω |
0.28442299632115 |
Real period |
R |
1.4746196876627 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008275 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11109i1 147a1 |
Quadratic twists by: -7 -23 |