Atkin-Lehner |
2- 3- 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
63900h |
Isogeny class |
Conductor |
63900 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-1035180000000 = -1 · 28 · 36 · 57 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 4 1 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1200,-51500] |
[a1,a2,a3,a4,a6] |
Generators |
[3140:5625:64] |
Generators of the group modulo torsion |
j |
-65536/355 |
j-invariant |
L |
6.4189056101907 |
L(r)(E,1)/r! |
Ω |
0.36469802239261 |
Real period |
R |
4.4001510952964 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999155 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7100b1 12780a1 |
Quadratic twists by: -3 5 |