Atkin-Lehner |
2+ 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
34650bd |
Isogeny class |
Conductor |
34650 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
96000 |
Modular degree for the optimal curve |
Δ |
-26200324735200 = -1 · 25 · 311 · 52 · 75 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11+ -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,5823,-178659] |
[a1,a2,a3,a4,a6] |
Generators |
[33:204:1] |
Generators of the group modulo torsion |
j |
1197993859655/1437603552 |
j-invariant |
L |
3.972269653078 |
L(r)(E,1)/r! |
Ω |
0.35905455118804 |
Real period |
R |
1.1063136896425 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11550cn1 34650dz2 |
Quadratic twists by: -3 5 |