Atkin-Lehner |
2- 3- 7+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
56826z |
Isogeny class |
Conductor |
56826 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
9923865336 = 23 · 36 · 73 · 112 · 41 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ 11- 0 1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-761,6689] |
[a1,a2,a3,a4,a6] |
Generators |
[1:76:1] |
Generators of the group modulo torsion |
j |
66775173193/13612984 |
j-invariant |
L |
12.271876363919 |
L(r)(E,1)/r! |
Ω |
1.2212411832029 |
Real period |
R |
1.6747819803503 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000146 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6314a1 |
Quadratic twists by: -3 |