Atkin-Lehner |
2- 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
81356a |
Isogeny class |
Conductor |
81356 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
133056 |
Modular degree for the optimal curve |
Δ |
47840075554832 = 24 · 11 · 437 |
Discriminant |
Eigenvalues |
2- 0 0 -3 11+ -2 2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9245,-79507] |
[a1,a2,a3,a4,a6] |
Generators |
[172:1849:1] |
Generators of the group modulo torsion |
j |
864000/473 |
j-invariant |
L |
4.241134224419 |
L(r)(E,1)/r! |
Ω |
0.52014838690685 |
Real period |
R |
0.67947505132402 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004111 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1892b1 |
Quadratic twists by: -43 |