Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040bc |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-7497480656977920 = -1 · 216 · 34 · 5 · 710 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7905,4177377] |
[a1,a2,a3,a4,a6] |
Generators |
[147:2484:1] |
Generators of the group modulo torsion |
j |
-7086244/972405 |
j-invariant |
L |
5.309178232222 |
L(r)(E,1)/r! |
Ω |
0.34197795776758 |
Real period |
R |
3.8812283888658 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47040gr3 5880k4 6720p4 |
Quadratic twists by: -4 8 -7 |