Atkin-Lehner |
2+ 3+ 31- 43- |
Signs for the Atkin-Lehner involutions |
Class |
23994d |
Isogeny class |
Conductor |
23994 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-134442001782828 = -1 · 22 · 39 · 314 · 432 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -4 -2 -6 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-22668,1432844] |
[a1,a2,a3,a4,a6] |
Generators |
[158:-1412:1] |
Generators of the group modulo torsion |
j |
-65445954850899/6830361316 |
j-invariant |
L |
1.4598143545419 |
L(r)(E,1)/r! |
Ω |
0.56886278961033 |
Real period |
R |
0.32077470639753 |
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 |
23994t2 |
Quadratic twists by: -3 |