Atkin-Lehner |
2- 5- 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
81070s |
Isogeny class |
Conductor |
81070 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
6073056 |
Modular degree for the optimal curve |
Δ |
-4.5387738968847E+19 |
Discriminant |
Eigenvalues |
2- -1 5- 0 11+ 3 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-84465565,298756077555] |
[a1,a2,a3,a4,a6] |
Generators |
[5253:-9282:1] |
Generators of the group modulo torsion |
j |
-28263674337340531571/19248832000 |
j-invariant |
L |
9.6145390346674 |
L(r)(E,1)/r! |
Ω |
0.16729553465883 |
Real period |
R |
1.0642664164309 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000239 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81070j1 |
Quadratic twists by: -11 |