Atkin-Lehner |
2- 3+ 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
78144br |
Isogeny class |
Conductor |
78144 |
Conductor |
∏ cp |
8 |
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] |
j |
3078397198672/556625817 |
j-invariant |
L |
1.3904043881933 |
L(r)(E,1)/r! |
Ω |
0.69520216997989 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78144bk1 19536p1 |
Quadratic twists by: -4 8 |