Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
46200cz |
Isogeny class |
Conductor |
46200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-1152978750000 = -1 · 24 · 32 · 57 · 7 · 114 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1617,45738] |
[a1,a2,a3,a4,a6] |
Generators |
[3:225:1] |
Generators of the group modulo torsion |
j |
1869154304/4611915 |
j-invariant |
L |
7.6291931673046 |
L(r)(E,1)/r! |
Ω |
0.60597097082453 |
Real period |
R |
1.5737538460218 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92400g1 9240h1 |
Quadratic twists by: -4 5 |