Atkin-Lehner |
2- 3- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
78144cn |
Isogeny class |
Conductor |
78144 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-3933116301312 = -1 · 230 · 32 · 11 · 37 |
Discriminant |
Eigenvalues |
2- 3- 0 2 11+ 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3553,124319] |
[a1,a2,a3,a4,a6] |
Generators |
[1250:44163:1] |
Generators of the group modulo torsion |
j |
-18927429625/15003648 |
j-invariant |
L |
9.4881419507189 |
L(r)(E,1)/r! |
Ω |
0.71896767021797 |
Real period |
R |
6.5984482629374 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001479 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78144k1 19536u1 |
Quadratic twists by: -4 8 |