Atkin-Lehner |
2- 3- 5+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
29610w |
Isogeny class |
Conductor |
29610 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-687672115200 = -1 · 214 · 36 · 52 · 72 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 -6 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2468,62407] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:293:1] [25:-139:1] |
Generators of the group modulo torsion |
j |
-2279642092281/943308800 |
j-invariant |
L |
10.676681670432 |
L(r)(E,1)/r! |
Ω |
0.84941811891524 |
Real period |
R |
0.22445368845277 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3290c1 |
Quadratic twists by: -3 |