Atkin-Lehner |
2+ 3- 23- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
33672d |
Isogeny class |
Conductor |
33672 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
9600 |
Modular degree for the optimal curve |
Δ |
-261833472 = -1 · 28 · 36 · 23 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 2 -1 -3 -5 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,143,467] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:18:1] |
Generators of the group modulo torsion |
j |
1254444032/1022787 |
j-invariant |
L |
7.3530307967226 |
L(r)(E,1)/r! |
Ω |
1.127359351657 |
Real period |
R |
0.27176452898224 |
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 |
67344b1 101016l1 |
Quadratic twists by: -4 -3 |