Atkin-Lehner |
3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
735d |
Isogeny class |
Conductor |
735 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-270225046875 = -1 · 3 · 56 · 78 |
Discriminant |
Eigenvalues |
0 3- 5+ 7+ 0 -1 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-10061,-392605] |
[a1,a2,a3,a4,a6] |
j |
-19539165184/46875 |
j-invariant |
L |
1.429863258238 |
L(r)(E,1)/r! |
Ω |
0.23831054303967 |
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 |
11760bk2 47040x2 2205i2 3675a2 |
Quadratic twists by: -4 8 -3 5 |