Atkin-Lehner |
2- 3- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
24768ce |
Isogeny class |
Conductor |
24768 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
100975754870784 = 230 · 37 · 43 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 -4 -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13836,-398320] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:108:1] |
Generators of the group modulo torsion |
j |
1532808577/528384 |
j-invariant |
L |
2.5911583866077 |
L(r)(E,1)/r! |
Ω |
0.45256806783904 |
Real period |
R |
2.8627278090787 |
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 |
24768bf1 6192w1 8256bf1 |
Quadratic twists by: -4 8 -3 |