Atkin-Lehner |
2- 3- 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
122976bh |
Isogeny class |
Conductor |
122976 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
49920 |
Modular degree for the optimal curve |
Δ |
1275015168 = 212 · 36 · 7 · 61 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 5 -2 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-300,-1024] |
[a1,a2,a3,a4,a6] |
j |
1000000/427 |
j-invariant |
L |
2.3842675758561 |
L(r)(E,1)/r! |
Ω |
1.1921342866261 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122976x1 13664e1 |
Quadratic twists by: -4 -3 |