Atkin-Lehner |
3- 5+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
34485l |
Isogeny class |
Conductor |
34485 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
51210225 = 34 · 52 · 113 · 19 |
Discriminant |
Eigenvalues |
-1 3- 5+ 2 11+ -6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-371,-2760] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:10:1] |
Generators of the group modulo torsion |
j |
4243659659/38475 |
j-invariant |
L |
3.8753700383943 |
L(r)(E,1)/r! |
Ω |
1.0883976595498 |
Real period |
R |
0.89015489981784 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103455x1 34485k1 |
Quadratic twists by: -3 -11 |