Atkin-Lehner |
2- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
123200gn |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2580480 |
Modular degree for the optimal curve |
Δ |
7.8156660736E+19 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ 11+ 2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1211500,287250000] |
[a1,a2,a3,a4,a6] |
Generators |
[7035217831642:-33780305780736:7267563953] |
Generators of the group modulo torsion |
j |
384082046109/152649728 |
j-invariant |
L |
6.2343613135324 |
L(r)(E,1)/r! |
Ω |
0.17550260920996 |
Real period |
R |
17.761448892087 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000105402 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123200dl1 30800ci1 123200hk1 |
Quadratic twists by: -4 8 5 |