Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040cu |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-344272070983680 = -1 · 214 · 36 · 5 · 78 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -6 -4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7121,-924561] |
[a1,a2,a3,a4,a6] |
Generators |
[247:-3528:1] |
Generators of the group modulo torsion |
j |
-20720464/178605 |
j-invariant |
L |
5.252928189825 |
L(r)(E,1)/r! |
Ω |
0.22801254866467 |
Real period |
R |
0.95991211532512 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47040er2 2940f2 6720o2 |
Quadratic twists by: -4 8 -7 |