Atkin-Lehner |
2- 5+ 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
81340c |
Isogeny class |
Conductor |
81340 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
-2.7243607865054E+20 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 3 3 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2305221,1564565521] |
[a1,a2,a3,a4,a6] |
Generators |
[1059336:38477887:512] |
Generators of the group modulo torsion |
j |
-44981444389175296/9045579921875 |
j-invariant |
L |
5.1662422383557 |
L(r)(E,1)/r! |
Ω |
0.16677802293632 |
Real period |
R |
7.744189172376 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001357 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11620g1 |
Quadratic twists by: -7 |