Atkin-Lehner |
2- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
123200hv |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
15 |
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 |
[-42:175:1] |
Generators of the group modulo torsion |
j |
995883520/184877 |
j-invariant |
L |
3.6836650527094 |
L(r)(E,1)/r! |
Ω |
0.54751732657318 |
Real period |
R |
0.44852948929487 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000134893 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123200gv1 61600bz1 123200er1 |
Quadratic twists by: -4 8 5 |