Atkin-Lehner |
3- 5- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
31605bb |
Isogeny class |
Conductor |
31605 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
49807977921016875 = 38 · 54 · 710 · 43 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- -4 -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-7027385,7169729622] |
[a1,a2,a3,a4,a6] |
Generators |
[1579:-4097:1] |
Generators of the group modulo torsion |
j |
326224607904438542209/423360826875 |
j-invariant |
L |
3.8138820346245 |
L(r)(E,1)/r! |
Ω |
0.30198310975354 |
Real period |
R |
0.39467046246158 |
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 |
94815t4 4515a3 |
Quadratic twists by: -3 -7 |