Atkin-Lehner |
2- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
123200gv |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
192000 |
Modular degree for the optimal curve |
Δ |
4621925000000 = 26 · 58 · 75 · 11 |
Discriminant |
Eigenvalues |
2- 2 5- 7+ 11+ -1 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6083,152537] |
[a1,a2,a3,a4,a6] |
Generators |
[16:243:1] |
Generators of the group modulo torsion |
j |
995883520/184877 |
j-invariant |
L |
9.3632669278859 |
L(r)(E,1)/r! |
Ω |
0.73490223807748 |
Real period |
R |
4.2469444495802 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999983899 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123200hv1 61600bw1 123200fw1 |
Quadratic twists by: -4 8 5 |