Atkin-Lehner |
2+ 3- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
34914n |
Isogeny class |
Conductor |
34914 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
88704 |
Modular degree for the optimal curve |
Δ |
-14381982688128 = -1 · 27 · 3 · 11 · 237 |
Discriminant |
Eigenvalues |
2+ 3- -2 -3 11+ 1 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,5543,-89284] |
[a1,a2,a3,a4,a6] |
Generators |
[366:6958:1] |
Generators of the group modulo torsion |
j |
127263527/97152 |
j-invariant |
L |
3.2702411095679 |
L(r)(E,1)/r! |
Ω |
0.39255024075307 |
Real period |
R |
2.0826895324876 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104742cl1 1518j1 |
Quadratic twists by: -3 -23 |