Atkin-Lehner |
2+ 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
129360co |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-208353480128640000 = -1 · 210 · 33 · 54 · 77 · 114 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11+ 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,148160,740900] |
[a1,a2,a3,a4,a6] |
j |
2985557859644/1729468125 |
j-invariant |
L |
4.5546657508486 |
L(r)(E,1)/r! |
Ω |
0.1897777525005 |
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 |
64680cb3 18480a4 |
Quadratic twists by: -4 -7 |