Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040co |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
14230823040000 = 210 · 33 · 54 · 77 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 -6 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13981,605219] |
[a1,a2,a3,a4,a6] |
Generators |
[107:588:1] |
Generators of the group modulo torsion |
j |
2508888064/118125 |
j-invariant |
L |
6.5910351226142 |
L(r)(E,1)/r! |
Ω |
0.69572340142674 |
Real period |
R |
0.78947024889115 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47040ep1 5880z1 6720j1 |
Quadratic twists by: -4 8 -7 |