Atkin-Lehner |
2- 3+ 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
35520ca |
Isogeny class |
Conductor |
35520 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
574848576000000 = 212 · 38 · 56 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 0 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-28825,1498777] |
[a1,a2,a3,a4,a6] |
j |
646676052458176/140343890625 |
j-invariant |
L |
2.9295010981188 |
L(r)(E,1)/r! |
Ω |
0.48825018302228 |
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 |
35520cz2 17760j1 106560ep2 |
Quadratic twists by: -4 8 -3 |