Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
61152ca |
Isogeny class |
Conductor |
61152 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
201600 |
Modular degree for the optimal curve |
Δ |
-73326055036416 = -1 · 29 · 3 · 710 · 132 |
Discriminant |
Eigenvalues |
2- 3- 1 7- -3 13- -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-800,411816] |
[a1,a2,a3,a4,a6] |
Generators |
[-66:426:1] |
Generators of the group modulo torsion |
j |
-392/507 |
j-invariant |
L |
8.2493163533947 |
L(r)(E,1)/r! |
Ω |
0.49487595881961 |
Real period |
R |
4.1673656834345 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000035 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61152bj1 122304fd1 61152bb1 |
Quadratic twists by: -4 8 -7 |