Atkin-Lehner |
2- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
29120cl |
Isogeny class |
Conductor |
29120 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
1022787584000 = 218 · 53 · 74 · 13 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 0 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3212,-50416] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:140:1] |
Generators of the group modulo torsion |
j |
13980103929/3901625 |
j-invariant |
L |
5.6713832258733 |
L(r)(E,1)/r! |
Ω |
0.64754650678615 |
Real period |
R |
0.72985532910744 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29120r1 7280q1 |
Quadratic twists by: -4 8 |