Atkin-Lehner |
2- 3+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
35496f |
Isogeny class |
Conductor |
35496 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-42230585088 = -1 · 28 · 39 · 172 · 29 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 -4 2 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-351,-10206] |
[a1,a2,a3,a4,a6] |
Generators |
[61:442:1] |
Generators of the group modulo torsion |
j |
-949104/8381 |
j-invariant |
L |
3.9666021138848 |
L(r)(E,1)/r! |
Ω |
0.48327408602394 |
Real period |
R |
2.051942276959 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70992b1 35496a1 |
Quadratic twists by: -4 -3 |