Atkin-Lehner |
2- 3+ 5- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
126420x |
Isogeny class |
Conductor |
126420 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-70125174000 = -1 · 24 · 32 · 53 · 72 · 433 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 3 -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1150,20077] |
[a1,a2,a3,a4,a6] |
Generators |
[79:645:1] |
Generators of the group modulo torsion |
j |
-214723097344/89445375 |
j-invariant |
L |
6.2615923936167 |
L(r)(E,1)/r! |
Ω |
1.0271980785426 |
Real period |
R |
0.33865546288871 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000095513 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126420bd2 |
Quadratic twists by: -7 |