Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040ce |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-2409904496885760 = -1 · 214 · 36 · 5 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,24239,-1854385] |
[a1,a2,a3,a4,a6] |
Generators |
[290:5445:1] |
Generators of the group modulo torsion |
j |
2382032/3645 |
j-invariant |
L |
6.5511573124066 |
L(r)(E,1)/r! |
Ω |
0.24266393009106 |
Real period |
R |
4.4994719720287 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47040eb2 5880f2 47040be2 |
Quadratic twists by: -4 8 -7 |