Atkin-Lehner |
2- 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
35264z |
Isogeny class |
Conductor |
35264 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
14336 |
Modular degree for the optimal curve |
Δ |
-261799936 = -1 · 214 · 19 · 292 |
Discriminant |
Eigenvalues |
2- -2 -3 -1 -1 6 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-37,771] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:29:1] |
Generators of the group modulo torsion |
j |
-351232/15979 |
j-invariant |
L |
2.9465263663498 |
L(r)(E,1)/r! |
Ω |
1.4493530248369 |
Real period |
R |
1.0164971252197 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999977 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35264q1 8816b1 |
Quadratic twists by: -4 8 |