Atkin-Lehner |
2+ 3- 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
126126bp |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
163840 |
Modular degree for the optimal curve |
Δ |
1529243443728 = 24 · 311 · 73 · 112 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11+ 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3222,-36828] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:174:1] |
Generators of the group modulo torsion |
j |
14796346375/6115824 |
j-invariant |
L |
4.5805131555284 |
L(r)(E,1)/r! |
Ω |
0.65719078106471 |
Real period |
R |
0.87122973193922 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999374938 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42042di1 126126cd1 |
Quadratic twists by: -3 -7 |