Atkin-Lehner |
2- 3+ 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
7440o |
Isogeny class |
Conductor |
7440 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
5206809600000000 = 216 · 38 · 58 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 4 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-59200,-4302848] |
[a1,a2,a3,a4,a6] |
j |
5601911201812801/1271193750000 |
j-invariant |
L |
2.488400491401 |
L(r)(E,1)/r! |
Ω |
0.31105006142513 |
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 |
930o4 29760cm3 22320bn3 37200cz3 |
Quadratic twists by: -4 8 -3 5 |