Atkin-Lehner |
2+ 3- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
47376r |
Isogeny class |
Conductor |
47376 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-83586975397632 = -1 · 28 · 310 · 76 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 6 0 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,7305,-368426] |
[a1,a2,a3,a4,a6] |
j |
231002606000/447889743 |
j-invariant |
L |
3.8056797545338 |
L(r)(E,1)/r! |
Ω |
0.31713997952045 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23688c1 15792k1 |
Quadratic twists by: -4 -3 |