Atkin-Lehner |
2+ 3- 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
29520r |
Isogeny class |
Conductor |
29520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
6886425600 = 210 · 38 · 52 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 6 -2 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1227,-16054] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:20:1] |
Generators of the group modulo torsion |
j |
273671716/9225 |
j-invariant |
L |
6.0481581895321 |
L(r)(E,1)/r! |
Ω |
0.80832523980394 |
Real period |
R |
1.8705831179412 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14760h1 118080ej1 9840c1 |
Quadratic twists by: -4 8 -3 |