Atkin-Lehner |
2- 7- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
48944bb |
Isogeny class |
Conductor |
48944 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
179625263104 = 223 · 72 · 19 · 23 |
Discriminant |
Eigenvalues |
2- 3 -3 7- 3 -6 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1819,-21814] |
[a1,a2,a3,a4,a6] |
Generators |
[-465:1792:27] |
Generators of the group modulo torsion |
j |
162503178993/43853824 |
j-invariant |
L |
9.2086065306023 |
L(r)(E,1)/r! |
Ω |
0.74580705939851 |
Real period |
R |
1.5433962468129 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000027 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6118g1 |
Quadratic twists by: -4 |