Atkin-Lehner |
2- 3- 5- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
126420br |
Isogeny class |
Conductor |
126420 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
1156538988460800 = 28 · 36 · 52 · 78 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -2 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-284020,-58331932] |
[a1,a2,a3,a4,a6] |
Generators |
[-304:90:1] |
Generators of the group modulo torsion |
j |
84128627757904/38400075 |
j-invariant |
L |
10.186369639221 |
L(r)(E,1)/r! |
Ω |
0.20681121868492 |
Real period |
R |
1.3681787293351 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000063898 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18060b2 |
Quadratic twists by: -7 |