Atkin-Lehner |
2+ 3- 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
21150be |
Isogeny class |
Conductor |
21150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
36480 |
Modular degree for the optimal curve |
Δ |
17131500 = 22 · 36 · 53 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 3 -1 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-34902,2518456] |
[a1,a2,a3,a4,a6] |
Generators |
[108:-52:1] |
Generators of the group modulo torsion |
j |
51599335959989/188 |
j-invariant |
L |
4.5970196670314 |
L(r)(E,1)/r! |
Ω |
1.4641675188436 |
Real period |
R |
0.78492037418339 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2350n1 21150cs1 |
Quadratic twists by: -3 5 |