Atkin-Lehner |
2- 11+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
85514l |
Isogeny class |
Conductor |
85514 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
471744 |
Modular degree for the optimal curve |
Δ |
-3196411463932544 = -1 · 27 · 113 · 138 · 23 |
Discriminant |
Eigenvalues |
2- -1 2 -4 11+ 13+ -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,19178,-2512749] |
[a1,a2,a3,a4,a6] |
Generators |
[105:767:1] |
Generators of the group modulo torsion |
j |
956280767/3918464 |
j-invariant |
L |
6.6975256273651 |
L(r)(E,1)/r! |
Ω |
0.22701998732466 |
Real period |
R |
4.214560075061 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005419 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85514g1 |
Quadratic twists by: 13 |