Atkin-Lehner |
2+ 3+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
4176b |
Isogeny class |
Conductor |
4176 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1344 |
Modular degree for the optimal curve |
Δ |
-584506368 = -1 · 210 · 39 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ -2 4 0 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,189,594] |
[a1,a2,a3,a4,a6] |
Generators |
[1:28:1] |
Generators of the group modulo torsion |
j |
37044/29 |
j-invariant |
L |
3.6421953565987 |
L(r)(E,1)/r! |
Ω |
1.0493780223038 |
Real period |
R |
1.7354067262637 |
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 |
2088h1 16704by1 4176d1 104400e1 |
Quadratic twists by: -4 8 -3 5 |