Atkin-Lehner |
2+ 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040dn |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-18070886400000000 = -1 · 217 · 3 · 58 · 76 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 4 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-15745,6506975] |
[a1,a2,a3,a4,a6] |
j |
-27995042/1171875 |
j-invariant |
L |
5.1589758112779 |
L(r)(E,1)/r! |
Ω |
0.32243598819486 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47040fm5 5880u6 960b6 |
Quadratic twists by: -4 8 -7 |