Atkin-Lehner |
3- 5- 7+ 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
42735m |
Isogeny class |
Conductor |
42735 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
8187229800494704575 = 324 · 52 · 7 · 112 · 372 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ 11+ 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-154616805,739989549450] |
[a1,a2,a3,a4,a6] |
j |
408783913072437856997776032721/8187229800494704575 |
j-invariant |
L |
2.0142785418681 |
L(r)(E,1)/r! |
Ω |
0.16785654514899 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
128205p4 |
Quadratic twists by: -3 |