Atkin-Lehner |
2- 3- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
47376bk |
Isogeny class |
Conductor |
47376 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-8912230612992 = -1 · 216 · 310 · 72 · 47 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5181,-5182] |
[a1,a2,a3,a4,a6] |
j |
5150827583/2984688 |
j-invariant |
L |
3.4796229104615 |
L(r)(E,1)/r! |
Ω |
0.43495286380809 |
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 |
5922f1 15792w1 |
Quadratic twists by: -4 -3 |