Atkin-Lehner |
2- 3+ 5+ 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
77550bi |
Isogeny class |
Conductor |
77550 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-107169524550 = -1 · 2 · 36 · 52 · 113 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 11+ -1 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4433,-116539] |
[a1,a2,a3,a4,a6] |
Generators |
[68238:6268379:8] |
Generators of the group modulo torsion |
j |
-385374540913465/4286780982 |
j-invariant |
L |
10.284075590755 |
L(r)(E,1)/r! |
Ω |
0.29235247748878 |
Real period |
R |
8.7942435766018 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000167 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77550z1 |
Quadratic twists by: 5 |