Atkin-Lehner |
2- 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
1170n |
Isogeny class |
Conductor |
1170 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
7706893335092640 = 25 · 310 · 5 · 138 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 0 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-55877,-2815459] |
[a1,a2,a3,a4,a6] |
j |
26465989780414729/10571870144160 |
j-invariant |
L |
3.2142459329827 |
L(r)(E,1)/r! |
Ω |
0.32142459329827 |
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 |
9360bz3 37440bv3 390g3 5850r4 |
Quadratic twists by: -4 8 -3 5 |