Atkin-Lehner |
2- 3- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
47376bo |
Isogeny class |
Conductor |
47376 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-64896882828115968 = -1 · 232 · 38 · 72 · 47 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -2 -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-342795,-78216518] |
[a1,a2,a3,a4,a6] |
Generators |
[17224057:137797632:24389] |
Generators of the group modulo torsion |
j |
-1491899855559625/21733834752 |
j-invariant |
L |
5.6669284879107 |
L(r)(E,1)/r! |
Ω |
0.098567737241139 |
Real period |
R |
7.1865914833298 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5922m1 15792bd1 |
Quadratic twists by: -4 -3 |