Atkin-Lehner |
2+ 3+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
47376c |
Isogeny class |
Conductor |
47376 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-3980332161792 = -1 · 28 · 39 · 75 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 5 -6 -5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5724,192348] |
[a1,a2,a3,a4,a6] |
j |
-4116151296/789929 |
j-invariant |
L |
1.5020439059757 |
L(r)(E,1)/r! |
Ω |
0.75102195284407 |
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 |
23688p1 47376b1 |
Quadratic twists by: -4 -3 |