Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040hl |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-6322176000000 = -1 · 217 · 32 · 56 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -6 2 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2305,-129025] |
[a1,a2,a3,a4,a6] |
Generators |
[95:720:1] |
Generators of the group modulo torsion |
j |
-30138446/140625 |
j-invariant |
L |
8.1324325110452 |
L(r)(E,1)/r! |
Ω |
0.31206375423742 |
Real period |
R |
1.0858401529337 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000019 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47040bu2 11760i2 47040es2 |
Quadratic twists by: -4 8 -7 |