Atkin-Lehner |
2- 3- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
49200cw |
Isogeny class |
Conductor |
49200 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
5160960 |
Modular degree for the optimal curve |
Δ |
2.2847507398656E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -4 -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-181558608,941554480788] |
[a1,a2,a3,a4,a6] |
Generators |
[2658:691200:1] |
Generators of the group modulo torsion |
j |
10341755683137709164937/356992303104 |
j-invariant |
L |
7.3343646859684 |
L(r)(E,1)/r! |
Ω |
0.15768602267335 |
Real period |
R |
0.96900956534184 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999881 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6150w1 1968e1 |
Quadratic twists by: -4 5 |