Atkin-Lehner |
2+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
29120bg |
Isogeny class |
Conductor |
29120 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
63924224000 = 214 · 53 · 74 · 13 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- -6 13- -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1905,28975] |
[a1,a2,a3,a4,a6] |
Generators |
[5:140:1] [-37:224:1] |
Generators of the group modulo torsion |
j |
46689225424/3901625 |
j-invariant |
L |
6.4241319157612 |
L(r)(E,1)/r! |
Ω |
1.078044956178 |
Real period |
R |
0.4965881276523 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29120ch1 3640d1 |
Quadratic twists by: -4 8 |