Atkin-Lehner |
2- 3+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
29988m |
Isogeny class |
Conductor |
29988 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12096 |
Modular degree for the optimal curve |
Δ |
4197360384 = 28 · 39 · 72 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- 0 -1 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-567,4158] |
[a1,a2,a3,a4,a6] |
j |
81648/17 |
j-invariant |
L |
2.6215443851501 |
L(r)(E,1)/r! |
Ω |
1.3107721925741 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119952cw1 29988g1 29988a1 |
Quadratic twists by: -4 -3 -7 |