Atkin-Lehner |
2+ 3- 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
4134c |
Isogeny class |
Conductor |
4134 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1344 |
Modular degree for the optimal curve |
Δ |
-61910784 = -1 · 28 · 33 · 132 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 -2 13+ 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-40,-394] |
[a1,a2,a3,a4,a6] |
Generators |
[22:86:1] |
Generators of the group modulo torsion |
j |
-6826561273/61910784 |
j-invariant |
L |
3.2226149645692 |
L(r)(E,1)/r! |
Ω |
0.83305126213036 |
Real period |
R |
1.2894824568691 |
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 |
33072l1 12402i1 103350bk1 53742x1 |
Quadratic twists by: -4 -3 5 13 |