Atkin-Lehner |
2+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
27832a |
Isogeny class |
Conductor |
27832 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
18720 |
Modular degree for the optimal curve |
Δ |
17107105792 = 211 · 76 · 71 |
Discriminant |
Eigenvalues |
2+ 1 -2 7- 2 1 2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3544,79792] |
[a1,a2,a3,a4,a6] |
Generators |
[-57:316:1] |
Generators of the group modulo torsion |
j |
20436626/71 |
j-invariant |
L |
5.6341321005288 |
L(r)(E,1)/r! |
Ω |
1.2378785799355 |
Real period |
R |
4.5514416291317 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55664a1 568a1 |
Quadratic twists by: -4 -7 |