Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
16800cb |
Isogeny class |
Conductor |
16800 |
Conductor |
∏ cp |
78 |
Product of Tamagawa factors cp |
deg |
27456 |
Modular degree for the optimal curve |
Δ |
-3571283520000 = -1 · 29 · 313 · 54 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -2 -3 1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1792,-85512] |
[a1,a2,a3,a4,a6] |
Generators |
[178:-2430:1] |
Generators of the group modulo torsion |
j |
1987675000/11160261 |
j-invariant |
L |
5.8819366711189 |
L(r)(E,1)/r! |
Ω |
0.39593776258721 |
Real period |
R |
0.1904578234942 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16800m1 33600bx1 50400bx1 16800c1 |
Quadratic twists by: -4 8 -3 5 |