Atkin-Lehner |
3+ 7- 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
77469c |
Isogeny class |
Conductor |
77469 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10644480 |
Modular degree for the optimal curve |
Δ |
-8.6095690167458E+21 |
Discriminant |
Eigenvalues |
-2 3+ -4 7- -2 -5 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-4786630,6016330242] |
[a1,a2,a3,a4,a6] |
j |
-103092041043985936384/73180129170208347 |
j-invariant |
L |
0.24042707681714 |
L(r)(E,1)/r! |
Ω |
0.1202135320402 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11067h1 |
Quadratic twists by: -7 |