Atkin-Lehner |
2+ 3- 37- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
10434d |
Isogeny class |
Conductor |
10434 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1872 |
Modular degree for the optimal curve |
Δ |
-4413582 = -1 · 2 · 33 · 37 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 2 -1 -1 -5 1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-65,218] |
[a1,a2,a3,a4,a6] |
Generators |
[18:61:1] |
Generators of the group modulo torsion |
j |
-29704593673/4413582 |
j-invariant |
L |
4.2754815261981 |
L(r)(E,1)/r! |
Ω |
2.3708270527173 |
Real period |
R |
0.30056188769638 |
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 |
83472p1 31302p1 |
Quadratic twists by: -4 -3 |