Atkin-Lehner |
2- 3+ 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
41832m |
Isogeny class |
Conductor |
41832 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
49203680553216 = 28 · 39 · 76 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ -6 -4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15039,-624510] |
[a1,a2,a3,a4,a6] |
Generators |
[-65:280:1] [-63:270:1] |
Generators of the group modulo torsion |
j |
74653355376/9764867 |
j-invariant |
L |
9.5023728576309 |
L(r)(E,1)/r! |
Ω |
0.43483728009733 |
Real period |
R |
5.4631774301318 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83664l2 41832b2 |
Quadratic twists by: -4 -3 |