Atkin-Lehner |
2- 7- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
52976bd |
Isogeny class |
Conductor |
52976 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
-82124675445139712 = -1 · 28 · 714 · 11 · 43 |
Discriminant |
Eigenvalues |
2- 3 0 7- 11- 0 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,17585,13758554] |
[a1,a2,a3,a4,a6] |
Generators |
[-4602:789929:216] |
Generators of the group modulo torsion |
j |
2349150628302000/320799513457577 |
j-invariant |
L |
12.036431571248 |
L(r)(E,1)/r! |
Ω |
0.26314156226079 |
Real period |
R |
3.2672342021881 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999571 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13244a1 |
Quadratic twists by: -4 |