Atkin-Lehner |
2- 3+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
47376y |
Isogeny class |
Conductor |
47376 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-36384768 = -1 · 212 · 33 · 7 · 47 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 1 2 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-96,-464] |
[a1,a2,a3,a4,a6] |
j |
-884736/329 |
j-invariant |
L |
1.4974386904794 |
L(r)(E,1)/r! |
Ω |
0.74871934513476 |
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 |
2961a1 47376x1 |
Quadratic twists by: -4 -3 |