Atkin-Lehner |
2- 3+ 29+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
57072m |
Isogeny class |
Conductor |
57072 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
-1705825008 = -1 · 24 · 37 · 29 · 412 |
Discriminant |
Eigenvalues |
2- 3+ 0 -3 3 -5 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-98,2055] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:41:1] [13:53:1] |
Generators of the group modulo torsion |
j |
-6572128000/106614063 |
j-invariant |
L |
7.909214082028 |
L(r)(E,1)/r! |
Ω |
1.2612479305516 |
Real period |
R |
3.1354715795546 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999931 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14268d1 |
Quadratic twists by: -4 |