Atkin-Lehner |
2- 3- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
35904ch |
Isogeny class |
Conductor |
35904 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-1628233187328 = -1 · 214 · 312 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 3- 0 1 11+ 4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-373,61331] |
[a1,a2,a3,a4,a6] |
Generators |
[14:243:1] |
Generators of the group modulo torsion |
j |
-351232000/99379467 |
j-invariant |
L |
7.7585938079147 |
L(r)(E,1)/r! |
Ω |
0.68619026125743 |
Real period |
R |
0.94223063266465 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35904l1 8976s1 107712eu1 |
Quadratic twists by: -4 8 -3 |