Atkin-Lehner |
2+ 3- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
36162bb |
Isogeny class |
Conductor |
36162 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
-953907547542366816 = -1 · 25 · 37 · 76 · 415 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- -2 1 -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-255574944,-1572562374944] |
[a1,a2,a3,a4,a6] |
j |
-21525971829968662032241/11122195296 |
j-invariant |
L |
0.7551791340204 |
L(r)(E,1)/r! |
Ω |
0.018879478350151 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12054z2 738b2 |
Quadratic twists by: -3 -7 |