Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040ef |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
8.3692970796221E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6098801,-3770714415] |
[a1,a2,a3,a4,a6] |
Generators |
[94467571:2789136448:29791] |
Generators of the group modulo torsion |
j |
13015144447800784/4341909875625 |
j-invariant |
L |
4.7127052161209 |
L(r)(E,1)/r! |
Ω |
0.098647307869093 |
Real period |
R |
11.943319381794 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999615 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
47040ch2 11760bg2 6720cl2 |
Quadratic twists by: -4 8 -7 |