Atkin-Lehner |
2+ 3- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
78144bk |
Isogeny class |
Conductor |
78144 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
9119757385728 = 214 · 33 · 11 · 374 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 11- 2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7697,-218097] |
[a1,a2,a3,a4,a6] |
Generators |
[-63:144:1] |
Generators of the group modulo torsion |
j |
3078397198672/556625817 |
j-invariant |
L |
11.209378399676 |
L(r)(E,1)/r! |
Ω |
0.51603926608764 |
Real period |
R |
3.6203247622051 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999575 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78144br1 9768n1 |
Quadratic twists by: -4 8 |