Atkin-Lehner |
2+ 3+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
35904c |
Isogeny class |
Conductor |
35904 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
1366013349888 = 212 · 3 · 113 · 174 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -2 11+ 0 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4553,-102519] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:96:1] |
Generators of the group modulo torsion |
j |
2548895896000/333499353 |
j-invariant |
L |
3.8210457532525 |
L(r)(E,1)/r! |
Ω |
0.5862061079534 |
Real period |
R |
3.2591316444932 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35904bi1 17952s1 107712ce1 |
Quadratic twists by: -4 8 -3 |